
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 duathlon. Instead of biking and running like Laura, he decides to skip the biking and focuses only on running and rollerblading. He rollerblades 12 miles at $3x + 2$ miles per hour, spends 8 minutes changing his rollerblades to running shoes, and then runs 8 miles at $x$ miles per hour. His total workout, including transitions, lasts 140 minutes. How fast did John run, to the nearest hundredth of a mile per hour? (You may use a calculator on this problem.)

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