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100-x-99x=0
Subtract 99x from both sides.
100-100x=0
Combine -x and -99x to get -100x.
-100x=-100
Subtract 100 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-100}{-100}
Divide both sides by -100.
x=1
Divide -100 by -100 to get 1.