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6-24x-28\geq 122
Use the distributive property to multiply -4 by 6x+7.
-22-24x\geq 122
Subtract 28 from 6 to get -22.
-24x\geq 122+22
Add 22 to both sides.
-24x\geq 144
Add 122 and 22 to get 144.
x\leq \frac{144}{-24}
Divide both sides by -24. Since -24 is negative, the inequality direction is changed.
x\leq -6
Divide 144 by -24 to get -6.