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6x+7-3x<-2
Subtract 3x from both sides.
3x+7<-2
Combine 6x and -3x to get 3x.
3x<-2-7
Subtract 7 from both sides.
3x<-9
Subtract 7 from -2 to get -9.
x<\frac{-9}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<-3
Divide -9 by 3 to get -3.