A problem by Lorenc Bushi

Level pending

$$f(x)$$ is a function defined for all real values of $$x$$ and $$x$$ not $$0$$.If $$f(x)$$ satisfies the equation:

$$f(\frac{1}{x})$$+$$2f(x)$$=$$x$$,

find $$2f'(1)$$.

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