Quantitative Aptitude Simplification Surds and Indices

If \({5^{{{\rm{x}}^2}{\rm{\;}} + {\rm{\;}}2}}{\rm{}} = {\rm{}}{125^{{\rm{\;}}-{\rm{\;x}}}}\), then find the value of x.

1
1, 2
2
-1, -2
3
1, 3
4
-1, -4

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