
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
Given an odd function $f(x)$ defined on $\mathbb{R}$ that satisfies $f(x-4) = -f(x)$, and it is an increasing function in the interval $[0,2]$. If the equation $f(x) = m (m > 0)$ has four different roots $x_1, x_2, x_3, x_4$ in the interval $[-8,8]$, then $x_1 + x_2 + x_3 + x_4 = \boxed{-8}$.

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