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5x^{4}+22x^{3}-17x^{2}+20x+12+x-2
Use the distributive property to multiply 5x+2 by x^{3}+4x^{2}-5x+6 and combine like terms.
5x^{4}+22x^{3}-17x^{2}+21x+12-2
Combine 20x and x to get 21x.
5x^{4}+22x^{3}-17x^{2}+21x+10
Subtract 2 from 12 to get 10.
5x^{4}+22x^{3}-17x^{2}+20x+12+x-2
Use the distributive property to multiply 5x+2 by x^{3}+4x^{2}-5x+6 and combine like terms.
5x^{4}+22x^{3}-17x^{2}+21x+12-2
Combine 20x and x to get 21x.
5x^{4}+22x^{3}-17x^{2}+21x+10
Subtract 2 from 12 to get 10.