
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
Laura is preparing for an ultra-triathlon event. She bikes 30 miles at $3x+2$ miles per hour, then spends ten minutes transitioning – which includes parking her bike and grabbing a snack, and eventually runs 3 miles at $x$ miles per hour. The total duration of Laura's workout is 230 minutes. Determine the running speed \(x\) of Laura, rounded to the nearest hundredth of a mile per hour.

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