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6x\geq -6-3
Subtract 3 from both sides.
6x\geq -9
Subtract 3 from -6 to get -9.
x\geq \frac{-9}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\geq -\frac{3}{2}
Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.