
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
I have a picture with dimensions $x$ and $y$ (in inches), where $x$ and $y$ are integers greater than zero. I want to place this picture in a frame such that the total outer dimensions are $(3x + 4)$ and $(y + 3)$. If the area of the frame (excluding the picture) is $54$ square inches, what is the area of the picture?

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