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3x\geq 22-7
Subtract 7 from both sides.
3x\geq 15
Subtract 7 from 22 to get 15.
x\geq \frac{15}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\geq 5
Divide 15 by 3 to get 5.