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

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

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