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Let f(x)+f(2x)+f(2−x)+f(1+x)=xf\left( x \right) +f\left( 2x \right) +f\left( 2-x \right) +f\left( 1+x \right) =xf(x)+f(2x)+f(2−x)+f(1+x)=x for all x∈Rx\in \mathbb Rx∈R.
Find the value of f(0)f(0) f(0).
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