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14-5x-9x>0
Subtract 9x from both sides.
14-14x>0
Combine -5x and -9x to get -14x.
-14x>-14
Subtract 14 from both sides. Anything subtracted from zero gives its negation.
x<\frac{-14}{-14}
Divide both sides by -14. Since -14 is negative, the inequality direction is changed.
x<1
Divide -14 by -14 to get 1.