
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 larger rectangle has side lengths of $(2x + 10)$ and $(x + 3)$. Inside this large rectangle, there is a rectangular hole with side lengths of $3x$ and $x$. Determine the area of the larger rectangle excluding the area of the hole, simplified as a polynomial in $x$ and assuming $x$ is such that the hole fits inside the rectangle.

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