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28-x\geq 7x-28
Use the distributive property to multiply 7 by x-4.
28-x-7x\geq -28
Subtract 7x from both sides.
28-8x\geq -28
Combine -x and -7x to get -8x.
-8x\geq -28-28
Subtract 28 from both sides.
-8x\geq -56
Subtract 28 from -28 to get -56.
x\leq \frac{-56}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq 7
Divide -56 by -8 to get 7.