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4x-6-7x\geq -12
Subtract 7x from both sides.
-3x-6\geq -12
Combine 4x and -7x to get -3x.
-3x\geq -12+6
Add 6 to both sides.
-3x\geq -6
Add -12 and 6 to get -6.
x\leq \frac{-6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq 2
Divide -6 by -3 to get 2.