
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 on the domain $\{x_1, x_2, x_3\}$, so that the graph of $y = f(x)$ consists of just three points forming a triangle of area 48. Consider the graph of $y = 3f(3x)$. This graph also consists of just three points. Determine the area of the triangle formed by those three points.

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