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If the coefficient of $$x^7$$ in $$\left[ax^2 + \left(\frac{1}{bx}\right)\right]^{11}$$ equals the coefficient of $$x^{-7}$$ in $$\left[ax^2 - \left(\frac{1}{bx}\right)\right]^{11}$$, then $$a$$ and $$b$$ satisfy the relation
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