
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
The area of the shaded region is now 120 square inches. All angles remain right angles and measurements are in inches. Calculate the perimeter of the non-shaded region under these new conditions:
- The outer rectangle is 12 inches by 10 inches.
- Attached to the right of it is a smaller rectangle, 3 inches wide with a height of 4 inches.
- Inside the large rectangle, there is another smaller shaded rectangle, 3 inches wide and 5 inches tall, located in the center.

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