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3x+7-4x\leq 10
Subtract 4x from both sides.
-x+7\leq 10
Combine 3x and -4x to get -x.
-x\leq 10-7
Subtract 7 from both sides.
-x\leq 3
Subtract 7 from 10 to get 3.
x\geq -3
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.