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5x+7-7x<-1
Subtract 7x from both sides.
-2x+7<-1
Combine 5x and -7x to get -2x.
-2x<-1-7
Subtract 7 from both sides.
-2x<-8
Subtract 7 from -1 to get -8.
x>\frac{-8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>4
Divide -8 by -2 to get 4.