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x+6=-2\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x+6=-3
Multiply -2 times \frac{3}{2}.
x=-3-6
Subtract 6 from both sides.
x=-9
Subtract 6 from -3 to get -9.