# From where you will expand?

Algebra Level 4

If $1=\begin{vmatrix} 1 & 1 & 1 & . & . & . & 1 \\ 1 & 1-x & 1 & . & . & . & 1 \\ 1 & 1 & 2 - x & . & . & . & 1 \\ & . & . & . & . & . & . \\ & . & . & . & . & . & . \\ & . & . & . & . & . & . \\ 1 & 1 & 1& . & . & . & n - x \end{vmatrix}\\$

then what is $$x?$$

• If you don't know how to expand determinants, look at this note

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