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Find the only real root of this equation 2x2001+3x2000+2x1999+3x1998+⋯+2x+3=02x^{2001}+3x^{2000}+2x^{1999}+3x^{1998}+\cdots+2x+3=02x2001+3x2000+2x1999+3x1998+⋯+2x+3=0
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