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-\frac{1}{2}x=-7+10
Add 10 to both sides.
-\frac{1}{2}x=3
Add -7 and 10 to get 3.
x=3\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=-6
Multiply 3 and -2 to get -6.