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\frac{4}{3}x=-11+7
Add 7 to both sides.
\frac{4}{3}x=-4
Add -11 and 7 to get -4.
x=-4\times \frac{3}{4}
Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.
x=-3
Multiply -4 times \frac{3}{4}.