
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 \[f(x) = \left\{ \begin{aligned} 2x + 4 & \quad \text{if } x < -1 \\ x - 10 & \quad \text{if } -1 \leq x < 2 \\ 3x - 5 & \quad \text{if } x \geq 2 \end{aligned} \right.\] Find all solutions to the equation $f(x) = 1.$

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