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2x^{3}+2x-\left(3x^{3}+4x\right)+5x-x^{3}+1
Use the distributive property to multiply 2 by x^{3}+x.
2x^{3}+2x-3x^{3}-4x+5x-x^{3}+1
To find the opposite of 3x^{3}+4x, find the opposite of each term.
-x^{3}+2x-4x+5x-x^{3}+1
Combine 2x^{3} and -3x^{3} to get -x^{3}.
-x^{3}-2x+5x-x^{3}+1
Combine 2x and -4x to get -2x.
-x^{3}+3x-x^{3}+1
Combine -2x and 5x to get 3x.
-2x^{3}+3x+1
Combine -x^{3} and -x^{3} to get -2x^{3}.
2x^{3}+2x-\left(3x^{3}+4x\right)+5x-x^{3}+1
Use the distributive property to multiply 2 by x^{3}+x.
2x^{3}+2x-3x^{3}-4x+5x-x^{3}+1
To find the opposite of 3x^{3}+4x, find the opposite of each term.
-x^{3}+2x-4x+5x-x^{3}+1
Combine 2x^{3} and -3x^{3} to get -x^{3}.
-x^{3}-2x+5x-x^{3}+1
Combine 2x and -4x to get -2x.
-x^{3}+3x-x^{3}+1
Combine -2x and 5x to get 3x.
-2x^{3}+3x+1
Combine -x^{3} and -x^{3} to get -2x^{3}.