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6x\geq 165-45
Subtract 45 from both sides.
6x\geq 120
Subtract 45 from 165 to get 120.
x\geq \frac{120}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\geq 20
Divide 120 by 6 to get 20.