
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 \[g(x) = \left\{ \begin{aligned} 4x + 8 & \quad \text{ if } x < 0 \\ 3x - 15 & \quad \text{ if } x \ge 0 \end{aligned} \right.\]Find all solutions to the equation $g(x) = 5.$

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