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2x+9\leq 3x+6
Use the distributive property to multiply 3 by x+2.
2x+9-3x\leq 6
Subtract 3x from both sides.
-x+9\leq 6
Combine 2x and -3x to get -x.
-x\leq 6-9
Subtract 9 from both sides.
-x\leq -3
Subtract 9 from 6 to get -3.
x\geq \frac{-3}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 3
Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.