Functions 1

Algebra Level 3

Let f(x)+f(2x)+f(2x)+f(1+x)=xf\left( x \right) +f\left( 2x \right) +f\left( 2-x \right) +f\left( 1+x \right) =x for all xRx\in \mathbb R.

Find the value of f(0)f(0) .

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