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6-4x-3x\geq -8
Subtract 3x from both sides.
6-7x\geq -8
Combine -4x and -3x to get -7x.
-7x\geq -8-6
Subtract 6 from both sides.
-7x\geq -14
Subtract 6 from -8 to get -14.
x\leq \frac{-14}{-7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
x\leq 2
Divide -14 by -7 to get 2.