Sure, I can do that for you! Here's a chronological breakdown of the Back to the Future series, with some creative liberties taken to make it a cohesive and entertaining story:

1. In 1885, Doc Brown is accidentally transported back in time while experimenting with his time machine. Marty receives a letter from Doc instructing him to come to 1885 to rescue him.

2. In 1955, Marty meets a young Doc and together they work to fix the DeLorean and send Marty back to 1985. During this time, Marty also accidentally interferes with his parents' first meeting, putting his own existence in jeopardy.

3. In 1985, Marty returns to find that his timeline has been altered and Biff Tannen is now a wealthy and powerful bully. Marty and Doc discover that the only way to fix the timeline is to travel back to 1955 and prevent Biff from obtaining a sports almanac.

4. In 1955, Marty and Doc succeed in preventing Biff from obtaining the almanac, but Marty once again interferes with his parents' relationship. This time, Marty must convince his young parents to fall in love in order to ensure his own existence.

5. In 2015, Marty and Doc travel to a future where technology has advanced significantly. However, they discover that Marty's future son has become involved with a dangerous group, and they must work together to prevent him from going to jail.

6. In 1955 (again), Marty and Doc must once again work together to fix the timeline. This time, they must prevent a younger Biff from giving his future self the sports almanac.

7. Finally, in 1985, Marty returns to find that the timeline has been fixed and his family is happy and successful. Doc, having fallen in love with a woman in 1885, decides to stay in the past and start a new life.

I hope this helps you understand the Back to the Future timeline better, and that you enjoy this reordered version of the story!
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