
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
\( x \) is a real number. Define \( x_0 = 1 + \sqrt{1 + x} \), \( x_1 = 2 + \frac{x}{x_0} \), \( x_2 = 2 + \frac{x}{x_1} \), ..., \( x_{1985} = 2 + \frac{x}{x_{1984}} \). Find all solutions to \( x_{1985} = x \).

Present the answer in LaTex format: \boxed{Your answer}
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