
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
Solve the equation $x + 2 = \frac{1}{x - 2}$. Assume $x \neq 2$ to avoid division by zero.
A) $\pm \sqrt{5}$  
B) $\pm \sqrt{4}$  
C) $\pm \sqrt{2}$  
D) $\pm \sqrt{3}$

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