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\frac{2}{3}x+11-\frac{4}{9}x=9
Subtract \frac{4}{9}x from both sides.
\frac{2}{9}x+11=9
Combine \frac{2}{3}x and -\frac{4}{9}x to get \frac{2}{9}x.
\frac{2}{9}x=9-11
Subtract 11 from both sides.
\frac{2}{9}x=-2
Subtract 11 from 9 to get -2.
x=-2\times \frac{9}{2}
Multiply both sides by \frac{9}{2}, the reciprocal of \frac{2}{9}.
x=-9
Multiply -2 times \frac{9}{2}.