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10x-7-2x\geq 6
Subtract 2x from both sides.
8x-7\geq 6
Combine 10x and -2x to get 8x.
8x\geq 6+7
Add 7 to both sides.
8x\geq 13
Add 6 and 7 to get 13.
x\geq \frac{13}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.