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7x+5-x\geq -2
Subtract x from both sides.
6x+5\geq -2
Combine 7x and -x to get 6x.
6x\geq -2-5
Subtract 5 from both sides.
6x\geq -7
Subtract 5 from -2 to get -7.
x\geq -\frac{7}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.