If \({\left( {\frac{7}{8}} \right)^{4x\; + \;3}}{\left( {\frac{8}{7}} \right)^{ - 7}} = \;{\left( {\frac{7}{8}} \right)^{2x}}\), find the value of x.
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If \({\left( {\frac{7}{8}} \right)^{4x\; + \;3}}{\left( {\frac{8}{7}} \right)^{ - 7}} = \;{\left( {\frac{7}{8}} \right)^{2x}}\), find the value of x.