
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
Determine the sum of all real numbers \( x \) for which the median of the numbers \( 1, 3, 5, 14, \) and \( x \) is equal to the average of these five numbers.
A) \( -2 \)
B) \( 2 \)
C) \( 0 \)
D) \( \frac{1}{2} \)
E) \( \frac{23}{5} \)

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