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It's good to keep an open mind on this topic. Recent evidence tilting towards hoax is the collection of NASA moon photos. CC had a thread on it before. Some of the photos seem to be faked, but more importantly there were too many taken.

The mirror thing is interesting, but try to find out about Russian technology at that time. Apparently they were sending unmanned missions to the moon alongside NASA. Many crashed or failed but some landed, took photos and returned rocks. If the Russians could deploy unmanned missions, perhaps they were indeed the only missions to go to the moon.

Add to that the evidence that Communism is popular with western industrialists and the Cold War co-operation seems more likely.