\[\huge \sqrt[{x^i}^2]{{\left({\left(x\right)}^{2x}\right)}^{3x}} = \sqrt[\frac{1}{5x}]{{\left({\left({\left(x\right)}^{2x}\right)}^{3x}\right)}^{4x}}\]

Find the real value of \(x\) (upto 2 decimal places) satisfying the real equation above.

**Note** :- Here \(x \neq \{-1 , 0 , 1\}\). Here \(i\) denotes \(\sqrt{-1}\).

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