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x^{2}+3x+2-x^{2}+3x-6
Combine x and 2x to get 3x.
3x+2+3x-6
Combine x^{2} and -x^{2} to get 0.
6x+2-6
Combine 3x and 3x to get 6x.
6x-4
Subtract 6 from 2 to get -4.
6x-4
Multiply and combine like terms.
2\left(3x-2\right)
Factor out 2.