Simplify the following expression: $(x^5+x^4+x+10)-(x^5+2x^4-x^3+12).$ Express your answer as a polynomial with the degrees of the terms in decreasing order
-2+x+x^3-x^4
(x^5+x^4+x+10)-(x^5+2x^4-x^3+12)
(x^5 + x^4 + 0x^3 + 0x^2 + x + 10)
- (x^5 + 2x^4 - x^3 + 12)
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x^5 + x^4 + 0x^3 + 0x^2 + x + 10
- x^5 - 2x^4 + x^3 - 12
-x^4 + x^3 + x - 2