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\frac{2}{3}x-4-\frac{7}{9}x=2
Subtract \frac{7}{9}x from both sides.
-\frac{1}{9}x-4=2
Combine \frac{2}{3}x and -\frac{7}{9}x to get -\frac{1}{9}x.
-\frac{1}{9}x=2+4
Add 4 to both sides.
-\frac{1}{9}x=6
Add 2 and 4 to get 6.
x=6\left(-9\right)
Multiply both sides by -9, the reciprocal of -\frac{1}{9}.
x=-54
Multiply 6 and -9 to get -54.