# Beauty in Symmetry

Algebra Level 2

$\begin{cases} x + y + z + 18a + b = 135802458 \\ x + y + 18z + a + b = 135802458\\ 18x + y + z + a + b = 135802458\\ x + 18y + z + a + b = 135802458\\ x + y + z + a + 18b = 135802458 \end{cases}$

Solve the system of equations above for real values of $$x$$, $$y$$, $$z$$, $$a$$, $$b$$.

Enter the value of $$x$$ as your answer.

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