
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 rectangular prism has dimensions $(x+8)$, $(x+6)$, and $4$ for length, width, and height, respectively. Inside this prism, there is a smaller rectangular prism (a hole) running through the entire height, with dimensions $(2x-4)$, $(x-3)$, and $4$. What is the volume of the larger prism, excluding the volume of the hole? Express your answer as a polynomial in $x$.

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