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x+6=-18\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x+6=\frac{-18\times 3}{2}
Express -18\times \frac{3}{2} as a single fraction.
x+6=\frac{-54}{2}
Multiply -18 and 3 to get -54.
x+6=-27
Divide -54 by 2 to get -27.
x=-27-6
Subtract 6 from both sides.
x=-33
Subtract 6 from -27 to get -33.