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200x+100=0
Swap sides so that all variable terms are on the left hand side.
200x=-100
Subtract 100 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-100}{200}
Divide both sides by 200.
x=-\frac{1}{2}
Reduce the fraction \frac{-100}{200} to lowest terms by extracting and canceling out 100.