If $x = 1 + \frac{x}{1 + \frac{x}{1+ \frac{x}{1 + \cdots}}}$, then what is $x$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $x = 1 + \frac{x}{1 + \frac{x}{1+ \frac{x}{1 + \cdots}}}$, then what is $x$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
If $x = 1 + \frac{x}{1 + \frac{x}{1+ \frac{x}{1 + \cdots}}}$, then what is $x$?
train