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24x+6-7x<-8
Subtract 7x from both sides.
17x+6<-8
Combine 24x and -7x to get 17x.
17x<-8-6
Subtract 6 from both sides.
17x<-14
Subtract 6 from -8 to get -14.
x<-\frac{14}{17}
Divide both sides by 17. Since 17 is positive, the inequality direction remains the same.