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2x+2-6<x
Use the distributive property to multiply 2 by x+1.
2x-4<x
Subtract 6 from 2 to get -4.
2x-4-x<0
Subtract x from both sides.
x-4<0
Combine 2x and -x to get x.
x<4
Add 4 to both sides. Anything plus zero gives itself.