
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
Are the equations equivalent:

$$
\begin{array}{r}
\frac{-x-2}{x-3}=\frac{x+1}{x-3} \\
-x - 2 = x + 1 \\
(-x-2)(x-3)=(x+1)(x-3)
\end{array}
$$

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