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-\frac{1}{2}-\frac{1}{2}x=0
Combine \frac{1}{2}x and -x to get -\frac{1}{2}x.
-\frac{1}{2}x=\frac{1}{2}
Add \frac{1}{2} to both sides. Anything plus zero gives itself.
x=\frac{1}{2}\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=\frac{-2}{2}
Multiply \frac{1}{2} and -2 to get \frac{-2}{2}.
x=-1
Divide -2 by 2 to get -1.