Exponential........

Algebra Level pending

If

\({ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }+{ 4 }^{ x }\) = \(\frac { 1 }{ 512 } \)

Then find \(\frac { -3 }{ x }\).

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