
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
Let \[g(x) = \left\{
\begin{array}{cl}
-x - 5 & \text{if } x \leq 2, \\
\frac{x}{3} + 2 & \text{if } x > 2.
\end{array}
\right.\]Find the sum of all values of $x$ such that $g(x) = 0$.

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