
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
In a magic triangle, each of the six whole numbers $7 - 12$ is placed in one of the circles such that the sum, $S$, of the three numbers on each side of the triangle is the same. Find the largest possible value for $S$.
A) $28$
B) $29$
C) $30$
D) $31$
E) $32$

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