After escaping the Goblins initially during the first attack, he follows the Goblins and their captives to the Goblintown. When the Great Goblin was about to attack Thorin, Gandalf revealed himself, drawing his sword, Glamdring, white emitted burning, white sparks that burned into the Goblins around him. He slew the Great Goblin and led the Dwarves out of the tunnels in the confusion, Bilbo accidentally getting lost along the way out.
By throwing his voice, he confused the trolls and got them fighting amongst themselves. They argue and fight till the sun comes up and they are all turned to stone.
Gandalf doesn't actually turn them into stone, but it was the sun's rays, for trolls cannot be out at dawn or else they turn into what they are made of stone.
Gandalf knows the Lord of the Eagles. He speaks to them, and the eagles save them. Another reason is because they do not enjoy the goblins.
When Bilbo, the dwarves, and Gandalf were trapped up in fir trees with wargs (evil wolves) and goblins beneath them, the eagles (including the Lord of the Eagles) swept down from the mountains and carried the Company to safety in their eyries.
He takes it upon himself to save the dwarves, multiple times (from the spiders and the elves most notably.)he was a hobbit who knew how to sneak around places without being seen
Bilbo demonstrates selflessness multiple times in "The Hobbit," most notably when he offers to take on the role of burglar for the dwarves despite his initial reluctance and fear. He also risks his own safety to save the dwarves from spiders in Mirkwood Forest and from imprisonment by the Wood-elves. Additionally, Bilbo shows selflessness when he spares Gollum's life during their encounter in the dark caves, choosing not to kill him despite the potential threat.
At the end of chapter 17 of The Hobbit, Bilbo is in the Battle of Five Armies and is just thinking that all hope is lost for the Dwarves and Elves and Men when he sees an army of eagles soaring toward them. Bilbo shouts, "The Eagles! The Eagles!" But then, a stone thrown by a goblin hits his head on the helm, and he falls down and blacks out.
Gandalf knows the Lord of the Eagles. He speaks to them, and the eagles save them. Another reason is because they do not enjoy the goblins.
His shouts allow Gandalf to escape capture by the goblins. And he finds a way to get the dwarves out of the Elvin King's dungeon.
When Bilbo, the dwarves, and Gandalf were trapped up in fir trees with wargs (evil wolves) and goblins beneath them, the eagles (including the Lord of the Eagles) swept down from the mountains and carried the Company to safety in their eyries.
he smuggled them out of the dungeon
No. Gandalf leaves the dwarves several times in the book, always returning, seemingly, just in time to save the dwarves from some terrible danger.
he smuggled them out of the dungeon
The lord of the eagles save bilbo and the party, because he knew Gandalf and by doing this he was repaying a favor to Gandalf.
he distracts the Spiders and gets them mad and finally frees them
He finally proved himself worthy to them, showing that Bilbo could actually get away from the goblins. Before they all thought he was incapable to go on an adventure and get all the gold ,therefore they have a good opinion on him.
In chapter 4 of 'The Hobbit,' all 15 of the adventurers were caught in a thunderstorm described as a thunder-battle, so they entered a cave which they thought was empty. Apparently, goblins who lived in the cave were able to appear from a hidden crack in the wall. Bilbo was the first to awake from a troubled sleep and spot the goblins, and his loud yell was just enough for Gandalf to escape and save the rest of the captured adventurers.
He takes it upon himself to save the dwarves, multiple times (from the spiders and the elves most notably.)he was a hobbit who knew how to sneak around places without being seen
The wolves would smell him out and find him, even if they couldn't see him.