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-9x<6-3
Subtract 3 from both sides.
-9x<3
Subtract 3 from 6 to get 3.
x>\frac{3}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x>-\frac{1}{3}
Reduce the fraction \frac{3}{-9} to lowest terms by extracting and canceling out 3.