
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
If $a, d, e$ are positive integers less than $10$, find the condition among $a, d, e$ such that $(10a + d)(10a + e) = 100a^2 + 110a + de$ holds true.
A) $d + e = 10$
B) $d + e = 11$
C) $d = e$
D) $a + d + e = 10$
E) $a = d + e$

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