
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 $f(x)$ be a function defined for all $x \in (-\infty, +\infty)$, satisfying $f(x) + f(x + 3) = 0$ for all $x \in \mathbb{R}$. Given that $f(x) = 2x - 3$ for $-1 < x \leq 1$, find the explicit form of $f(x)$ for $2 < x \leq 4$.

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