Find the slope out of the functional

Algebra Level 3

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

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

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