Quantitative Aptitude Simplification Fractions

If  \(2 = x +\dfrac{1}{1+\dfrac{1}{3+\dfrac{1}{4}}}\), then the value of x is:

1
\(\dfrac{12}{17}\)
2
\(\dfrac{21}{17}\)
3
\(\dfrac{13}{17}\)
4
\(\dfrac{18}{17}\)

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