Just wanted to add a comment of thanks to both the creator of this walkthrough but also the commenters above who talked about using wire/fishing line/etc. to remove the batteries. I used this method and saved a considerable amount of time and it saved me from having to disassemble the laptop.
Due to the complexity of the device and number of components, I was really concerned about being able to put everything back together exactly right. Yes, even with the walkthrough. So this gave me some considerable peace of mind.