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\frac{1}{2}x+6=-9
Combine -2x and \frac{5}{2}x to get \frac{1}{2}x.
\frac{1}{2}x=-9-6
Subtract 6 from both sides.
\frac{1}{2}x=-15
Subtract 6 from -9 to get -15.
x=-15\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=-30
Multiply -15 and 2 to get -30.