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\frac{1}{2}x-x=1
Subtract x from both sides.
-\frac{1}{2}x=1
Combine \frac{1}{2}x and -x to get -\frac{1}{2}x.
x=1\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=-2
Multiply 1 and -2 to get -2.