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One equals Two

      a = x            [true for some a's and x's]
  a+a = a+x [add a to both sides]
 2a = a+x [a+a = 2a]
  2a-2x = a+x-2x [subtract 2x from both sides]
 2(a-x) = a+x-2x [2a-2x = 2(a-x)]
 2(a-x) = a-x [x-2x = -x]
 2 = 1 [divide both sides by a-x]

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Author

Andrew Dodson
Since:Feb 2007

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