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3x+4-7x\geq -12
Subtract 7x from both sides.
-4x+4\geq -12
Combine 3x and -7x to get -4x.
-4x\geq -12-4
Subtract 4 from both sides.
-4x\geq -16
Subtract 4 from -12 to get -16.
x\leq \frac{-16}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\leq 4
Divide -16 by -4 to get 4.