
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
$(1)$ Solve the fractional equation: $\frac{x}{x+1}=\frac{2x}{3x+3}+1$;<br/>$(2)$ Simplify first ($\frac{x+2}{{x}^{2}-2x}-\frac{x-1}{{x}^{2}-4x+4})\div \frac{x+2}{{x}^{3}-4x}$, then choose a suitable number from $2$, $0$, $-1$ to substitute into the simplified result for evaluation.

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