\[ \large { 2 }^{ 2 (\log _{ 10 }{ 4x}) -1 }-{ 7 }^{ \log _{ 10 }{ 4x } }={ 7 }^{ (\log _{ 10 }{ 4x} ) -1 }-3 \times { 4 }^{ \log _{ 10 }{ 4x } }\]

What is the value of \(x\) satisfying the equation above?

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