# Large Numbers Don't Sway Me!

$\large {30x \equiv 877 \pmod p \\ 24x \equiv 107 \pmod p}$

Let $$x$$ and $$p$$ be positive integers satisfying the congruences above.

It is also given that $$0 \leq x < p$$ and $$p$$ is a 3-digit prime, find the value of $$x+p$$.



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