
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 \[f(x) = \left\{
\begin{array}{cl}
3x + 4 & \text{if } x < -3, \\
-x^2 - 2x + 3 & \text{if } x \ge -3.
\end{array}
\right.\]Find the sum of all values of $x$ such that $f(x) = -2.$

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