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x+6+x\geq 10
Add x to both sides.
2x+6\geq 10
Combine x and x to get 2x.
2x\geq 10-6
Subtract 6 from both sides.
2x\geq 4
Subtract 6 from 10 to get 4.
x\geq \frac{4}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x\geq 2
Divide 4 by 2 to get 2.