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-\frac{1}{2}x+3=-7
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{2}x=-7-3
Subtract 3 from both sides.
-\frac{1}{2}x=-10
Subtract 3 from -7 to get -10.
x=-10\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=20
Multiply -10 and -2 to get 20.