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-x>6x+6
Multiply both sides of the equation by 6. Since 6 is positive, the inequality direction remains the same.
-x-6x>6
Subtract 6x from both sides.
-7x>6
Combine -x and -6x to get -7x.
x<-\frac{6}{7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.