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3x\geq 7-1
Subtract 1 from both sides.
3x\geq 6
Subtract 1 from 7 to get 6.
x\geq \frac{6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\geq 2
Divide 6 by 3 to get 2.