Beauty in Symmetry

Algebra Level 2

{x+y+z+18a+b=135802458x+y+18z+a+b=13580245818x+y+z+a+b=135802458x+18y+z+a+b=135802458x+y+z+a+18b=135802458 \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 xx, yy, zz, a a, bb .

Enter the value of xx as your answer.

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