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7+3x-4x\geq 6
Subtract 4x from both sides.
7-x\geq 6
Combine 3x and -4x to get -x.
-x\geq 6-7
Subtract 7 from both sides.
-x\geq -1
Subtract 7 from 6 to get -1.
x\leq \frac{-1}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\leq 1
Divide -1 by -1 to get 1.