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Find the sum of possible real values of `x` for which the sixth term of `(3^(log_3 sqrt(9^|x-2|))+7^(1/5 log_7 (3^(|x-2|-9))))^7` equals 567.

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E=(3^(log_(3)sqrt(9^(|x-2|)))+7^((1/5)log_(7)(4).3^(|x-2|)-9 ))^(7)

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