Bush served as vice president under Reagan for eight years before becoming the 41st president. The library established a condolence book for people to sign that will be delivered to the Bush family.
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Veteran Andy Hall was one of the first people to arrive at the library to pay his respects.
Bush had a big impact on Hall's life. He served in the Army while Bush was commander-in-chief.
But before that he had a chance to meet Bush in person.
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"I had a chance to meet him when I was a kid at Dodger Stadium. He was watching a game, and he turned around, shook my hand, and talked to me for a couple of minutes. That was 40 years ago, and I still remember it."
Bush moved dozens of times during his life and briefly lived in Southern California while building his career, in a now-demolished apartment complex in Compton.
If you'd like to pay your respects to the 41st president, the Reagan library is open seven days a week from 10 a.m. to 5 p.m.