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9x+8-3x\geq 2
Subtract 3x from both sides.
6x+8\geq 2
Combine 9x and -3x to get 6x.
6x\geq 2-8
Subtract 8 from both sides.
6x\geq -6
Subtract 8 from 2 to get -6.
x\geq \frac{-6}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\geq -1
Divide -6 by 6 to get -1.