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x^{4}+9x-\left(x+8y^{3}-5x^{4}\right)
Combine 6x and 3x to get 9x.
x^{4}+9x-x-8y^{3}+5x^{4}
To find the opposite of x+8y^{3}-5x^{4}, find the opposite of each term.
x^{4}+8x-8y^{3}+5x^{4}
Combine 9x and -x to get 8x.
6x^{4}+8x-8y^{3}
Combine x^{4} and 5x^{4} to get 6x^{4}.
x^{4}+9x-\left(x+8y^{3}-5x^{4}\right)
Combine 6x and 3x to get 9x.
x^{4}+9x-x-8y^{3}+5x^{4}
To find the opposite of x+8y^{3}-5x^{4}, find the opposite of each term.
x^{4}+8x-8y^{3}+5x^{4}
Combine 9x and -x to get 8x.
6x^{4}+8x-8y^{3}
Combine x^{4} and 5x^{4} to get 6x^{4}.