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you argue that the answer is X = 0.
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To do this, of course,
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you must cleverly pick your coordinates
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so that the symmetry of the body is evident.
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If you took the body like this
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and you took a reflection around this point,
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it goes into body flipped over.
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There is not much you can say about it.
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So, what you really want to do is to pick a point of reflection
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so that upon reflection the body looks the same;
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the body looks the same, the answer must be the same.
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But if you argue the answer must be minus of itself,