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3+2x+2\geq 6+3x
Use the distributive property to multiply 2 by x+1.
5+2x\geq 6+3x
Add 3 and 2 to get 5.
5+2x-3x\geq 6
Subtract 3x from both sides.
5-x\geq 6
Combine 2x and -3x to get -x.
-x\geq 6-5
Subtract 5 from both sides.
-x\geq 1
Subtract 5 from 6 to get 1.
x\leq -1
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.