Find the sum of possible real Values of \( x \) for which the sixth term of the expansion of \( ...

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Find the sum of possible real Values of \( x \) for which the sixth term of the expansion of
\( \left(3^{\log _{3} \sqrt{9^{|x-2|}}}+7^{(1 / 5) \log _{7}\left[(4) \cdot 3^{|x-2|}-9\right]}\right)^{7} \) is 567 , are
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