
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
Simplify first, then evaluate: $(\frac{1}{1-x}+1)÷\frac{{{x}^{2}}-4x+4}{{{x}^{2}}-1}$. After simplifying, choose a suitable integer to substitute in the range of $-2 \lt x \lt 3$ and calculate the value.

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