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x\left(2x+2\right)
Factor out x.
2x+2
Consider 2x+3-1. Multiply and combine like terms.
2\left(x+1\right)
Consider 2x+2. Factor out 2.
2x\left(x+1\right)
Rewrite the complete factored expression.
2x^{2}+2x
Combine 3x and -x to get 2x.