
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
A large rectangle has side lengths of $(2x+9)$ and $(x+6)$. Within this rectangle, there is a smaller rectangular hole with side lengths of $(x-1)$ and $(2x-5)$. Additionally, within the large rectangle but outside the hole, there is a square of side length $(x+3)$. Calculate the area of the large rectangle that is not occupied by the hole or the square.

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