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9x+7-x\geq -4
Subtract x from both sides.
8x+7\geq -4
Combine 9x and -x to get 8x.
8x\geq -4-7
Subtract 7 from both sides.
8x\geq -11
Subtract 7 from -4 to get -11.
x\geq -\frac{11}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.