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6x-2x\geq 14
Subtract 2x from both sides.
4x\geq 14
Combine 6x and -2x to get 4x.
x\geq \frac{14}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\geq \frac{7}{2}
Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.