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6-6x>0
Multiply 3 and 2 to get 6.
-6x>-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x<\frac{-6}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x<1
Divide -6 by -6 to get 1.