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4x-7-x<-9
Subtract x from both sides.
3x-7<-9
Combine 4x and -x to get 3x.
3x<-9+7
Add 7 to both sides.
3x<-2
Add -9 and 7 to get -2.
x<-\frac{2}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.