
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 the function f(x) be defined on $\mathbb{R}$, satisfying f(x) = f(4-x), and for any x1, x2 ∈ (0, +∞), it holds that (x1 - x2)[f(x1 + 2) - f(x2 + 2)] > 0. Find the sum of all x that satisfy f(2-x) = f((3x+11)/(x+4)).

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