NMTC 2015

Algebra Level 4

Find the sum of all real values of xx such that

 8x+27x12x+18x=76\huge\ \frac { { 8 }^{ x } + { 27 }^{ x } }{ 12^{ x } + { 18 }^{ x } } = \frac { 7 }{ 6 }.

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