
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
Twelve unit cubes are glued together to form a T-shaped structure as shown. The base of the T consists of a line of 7 cubes, and the top of the T (perpendicular to the base and centered) consists of an additional 5 cubes stacked vertically on the third cube from one end of the base. How many square units are in the surface area of the resulting solid?

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