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2x-6-3x>1
Subtract 3x from both sides.
-x-6>1
Combine 2x and -3x to get -x.
-x>1+6
Add 6 to both sides.
-x>7
Add 1 and 6 to get 7.
x<-7
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.