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3x\geq 15-6
Subtract 6 from both sides.
3x\geq 9
Subtract 6 from 15 to get 9.
x\geq \frac{9}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\geq 3
Divide 9 by 3 to get 3.