Which of the following is equivalent to$${2x^2+8x-24}\over{2x^2+20x-48}$$ for all values of x for which both expressions are defined?
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A$${x-2}\over{x-4}$$
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B$${x-2}\over{x+4}$$
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C$${x+2}\over{x+4}$$
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D$${x+2}\over{x-12}$$
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E$${x+6}\over{x+12}$$
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正确答案: E