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x+7-7x<-1
Subtract 7x from both sides.
-6x+7<-1
Combine x and -7x to get -6x.
-6x<-1-7
Subtract 7 from both sides.
-6x<-8
Subtract 7 from -1 to get -8.
x>\frac{-8}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x>\frac{4}{3}
Reduce the fraction \frac{-8}{-6} to lowest terms by extracting and canceling out -2.