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6X+6>2\left(2X-1\right)
Use the distributive property to multiply 6 by X+1.
6X+6>4X-2
Use the distributive property to multiply 2 by 2X-1.
6X+6-4X>-2
Subtract 4X from both sides.
2X+6>-2
Combine 6X and -4X to get 2X.
2X>-2-6
Subtract 6 from both sides.
2X>-8
Subtract 6 from -2 to get -8.
X>\frac{-8}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
X>-4
Divide -8 by 2 to get -4.