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\frac{1}{2}\left(x+7\right)=2
Cancel out \frac{2}{7} on both sides.
x+7=2\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x+7=4
Multiply 2 and 2 to get 4.
x=4-7
Subtract 7 from both sides.
x=-3
Subtract 7 from 4 to get -3.