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\frac{1}{2}x+7-x=13
Subtract x from both sides.
-\frac{1}{2}x+7=13
Combine \frac{1}{2}x and -x to get -\frac{1}{2}x.
-\frac{1}{2}x=13-7
Subtract 7 from both sides.
-\frac{1}{2}x=6
Subtract 7 from 13 to get 6.
x=6\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=-12
Multiply 6 and -2 to get -12.