
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 $(2x+5)$ and $(x+8)$. Within this rectangle, there is a rectangular hole with side lengths of $(3x-2)$ and $(x+1)$. Determine the remaining area of the large rectangle after accounting for the hole, and express your answer as a polynomial in $x$.

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