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7x+6\geq -2
Add 5 and 1 to get 6.
7x\geq -2-6
Subtract 6 from both sides.
7x\geq -8
Subtract 6 from -2 to get -8.
x\geq -\frac{8}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.