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\(x\left( 1+\frac { 1 }{ 7 } \left( 1+\frac { 1 }{ 7 } \left( 1+\frac { 1 }{ 7 } \left( 1+............. \right) \right) \right) \right) ={ \sqrt [ 7 ]{ 7 } }^{ { \sqrt [ 7 ]{ 7 } }^{ \sqrt [ 7 ]{ 7 } { ...... }^{ ..... } } }\) Find \(x\).

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