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3x+2+x\geq 6
Add x to both sides.
4x+2\geq 6
Combine 3x and x to get 4x.
4x\geq 6-2
Subtract 2 from both sides.
4x\geq 4
Subtract 2 from 6 to get 4.
x\geq \frac{4}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\geq 1
Divide 4 by 4 to get 1.