Quantitative Aptitude Simplification Fractions

If \(x + \frac{1}{{1 + \frac{1}{{2 + \frac{1}{3}}}}} = 2\), then what is x equal to?

1
\(\frac{7}{{10}}\)
2
\(\frac{{13}}{{10}}\)
3
\(\frac{{11}}{{10}}\)
4
\(\frac{{17}}{{10}}\)

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