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6x^{2}-12x+48-\left(-x^{2}\right)-24x+63
To find the opposite of -x^{2}+24x-63, find the opposite of each term.
6x^{2}-36x+48-\left(-x^{2}\right)+63
Combine -12x and -24x to get -36x.
6x^{2}-36x+111-\left(-x^{2}\right)
Add 48 and 63 to get 111.
6x^{2}-36x+111+x^{2}
Multiply -1 and -1 to get 1.
7x^{2}-36x+111
Combine 6x^{2} and x^{2} to get 7x^{2}.
6x^{2}-12x+48-\left(-x^{2}\right)-24x+63
To find the opposite of -x^{2}+24x-63, find the opposite of each term.
6x^{2}-36x+48-\left(-x^{2}\right)+63
Combine -12x and -24x to get -36x.
6x^{2}-36x+111-\left(-x^{2}\right)
Add 48 and 63 to get 111.
6x^{2}-36x+111+x^{2}
Multiply -1 and -1 to get 1.
7x^{2}-36x+111
Combine 6x^{2} and x^{2} to get 7x^{2}.