How is “save your skin” used?

In Les Misérables: 25th Anniversary in Concert (2010), one line is: “Why should I save his hide? Why should I right this wrong?”

Which movie is “save your skin” from?

The clip at the top of this page is from Les Misérables: 25th Anniversary in Concert (2010).

Why should I save his hide? Why should I right this wrong?

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to try to avoid death, punishment, etc., especially by leaving others in an extremely difficult situation

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save your (own) skin / hide / neck
to try to avoid death, punishment, etc., especially by leaving others in an extremely difficult situation
To save his own skin, he lied and blamed the accident on his friend.

定義：Oxford Advanced Learner's Dictionary 第 9 版