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17x-2-14x\geq 18
Subtract 14x from both sides.
3x-2\geq 18
Combine 17x and -14x to get 3x.
3x\geq 18+2
Add 2 to both sides.
3x\geq 20
Add 18 and 2 to get 20.
x\geq \frac{20}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.