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6x-7-8x<-9
Subtract 8x from both sides.
-2x-7<-9
Combine 6x and -8x to get -2x.
-2x<-9+7
Add 7 to both sides.
-2x<-2
Add -9 and 7 to get -2.
x>\frac{-2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>1
Divide -2 by -2 to get 1.