
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
John is preparing for a biathlon that involves only biking and running. He bikes 36 miles at a speed of (3x + 2) miles per hour, then takes 10 minutes to transition to running gear. After that, he runs 8 miles at a speed of x miles per hour. His total training session is supposed to last 180 minutes. What was John's running speed, to the nearest hundredth of a mile per hour?

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