
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
Source: 2017 Canadian Open Math Challenge, Problem A1
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The average of the numbers  $2$ ,  $5$ ,  $x$ ,  $14$ ,  $15$  is  $x$ . Determine the value of  $x$  .

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