
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 $a \triangle b$ and $a \nabla b$ represent the minimum and maximum of two numbers $a$ and $b$, respectively. For example, $3 \triangle 4 = 3$ and $3 \nabla 4 = 4$. Determine the total number of distinct values for the expression $5 \nabla [4 \nabla (x \triangle 4)]$ for different numbers $x$.

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