Where's the information?

Algebra Level 5

f(20+x)=f(20x)\large f(20 + x) = f(20 - x)

Let f:RRf:\mathbb{R} \to \mathbb{R} such that xR\forall x \in \mathbb{R}, the above is true. Given that ff has exactly 3 real roots at aa, bb and cc, find the value of a+b+ca+b+c.

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