"Spoooooooky" Russian rational expressions 9

Algebra Level 2

\[ \mathscr{E} = \left( 2x+1 - \dfrac{1}{1-2x} \right) \div \left( 2x - \dfrac{4x^2}{2x-1} \right) \]

Let \( x = 2016 \). Find the exact value of \( \mathscr{E} \).


Credit: My former Trig teacher's worksheet of Russian rational expressions
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