# Cunning Repercussion

$\large { \begin{cases} { x^5y^4z^3+x^4y^3z^2+x^3y^2z+x^2y+x = 7907799 } \\ { 2x+3y+4z=38} \end{cases} }$

If $$x, y, z$$ are natural numbers that satisfy the system of equations above, evaluate $$x+y+z$$.

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