
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 the expression: 

\[
\frac{3 a^{2}+2 a x-x^{2}}{(3 x+a)(a+x)} - 2 + 10 \cdot \frac{a x-3 x^{2}}{a^{2}-9 x^{2}}
\

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