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-x\times 9-6=\frac{7}{9}x-5
To find the opposite of x\times 9+6, find the opposite of each term.
-9x-6=\frac{7}{9}x-5
Multiply -1 and 9 to get -9.
-9x-6-\frac{7}{9}x=-5
Subtract \frac{7}{9}x from both sides.
-\frac{88}{9}x-6=-5
Combine -9x and -\frac{7}{9}x to get -\frac{88}{9}x.
-\frac{88}{9}x=-5+6
Add 6 to both sides.
-\frac{88}{9}x=1
Add -5 and 6 to get 1.
x=1\left(-\frac{9}{88}\right)
Multiply both sides by -\frac{9}{88}, the reciprocal of -\frac{88}{9}.
x=-\frac{9}{88}
Multiply 1 and -\frac{9}{88} to get -\frac{9}{88}.