Maths Olympiad Prep

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Algebra Difficulty 2.0 Junior Prove it United Kingdom

A function f(x)f(x) has the property that, for all positive xx, 3f(x)+7f(2016x)=2x3f(x) + 7f\left(\frac{2016}{x}\right) = 2x. What is the value of f(8)f(8)?

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