6th grade problem

Algebra Level 2

\[ \begin{eqnarray} \large 1 + a + a^2 + a^3 + \ldots + a^x &=& (1+a)(1+a^2)(1+a^4)(1+a^8) \\ \large x &=& \ ? \end{eqnarray} \]

Assume \(a \ne 0 \).

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