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\frac{1}{2}x-3-x=1
Subtract x from both sides.
-\frac{1}{2}x-3=1
Combine \frac{1}{2}x and -x to get -\frac{1}{2}x.
-\frac{1}{2}x=1+3
Add 3 to both sides.
-\frac{1}{2}x=4
Add 1 and 3 to get 4.
x=4\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=-8
Multiply 4 and -2 to get -8.