Find the slope out of the functional

Algebra Level 3

Let \(f : \mathbb R^+ \rightarrow \mathbb R \) such that \[f(x)+2f \left (\frac{1331}{x} \right )=L \cdot x \] where \(L\) is a constant.

Knowing that \(f(11)=847\), what is \(L \)?

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