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Solve for $x$:
$$\sin ( 2 x ) + \cos ^ { 2 } ( x ) = \frac { \ln ( x ) } { e ^ { 2 x } + 1 }$$
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Solve for $x$: $$\sin ( 2 x ) + \cos ^ { 2 } ( x ) = \frac { \ln ( x ) } { e ^ { 2 x } + 1 }$$
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