
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 coordinate plane, points A, B, and D are positioned such that $A$ is at $(20,0)$, $B$ is at $(1,0)$, and $D$ is at $(1,7)$. Calculate the sum of the distances from $A$ to $D$ and from $B$ to $D$.
A) between 25 and 26  
B) between 26 and 27  
C) between 27 and 28  
D) between 28 and 29  
E) between 29 and 30

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