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-4x-6-6x>1
Subtract 6x from both sides.
-10x-6>1
Combine -4x and -6x to get -10x.
-10x>1+6
Add 6 to both sides.
-10x>7
Add 1 and 6 to get 7.
x<-\frac{7}{10}
Divide both sides by -10. Since -10 is negative, the inequality direction is changed.