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-4\left(-2\right)=x+9
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
8=x+9
Multiply -4 and -2 to get 8.
x+9=8
Swap sides so that all variable terms are on the left hand side.
x=8-9
Subtract 9 from both sides.
x=-1
Subtract 9 from 8 to get -1.