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-12-3x<4x-2
Subtract 18 from 6 to get -12.
-12-3x-4x<-2
Subtract 4x from both sides.
-12-7x<-2
Combine -3x and -4x to get -7x.
-7x<-2+12
Add 12 to both sides.
-7x<10
Add -2 and 12 to get 10.
x>-\frac{10}{7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.