
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 has increased her training distances for a longer triathlon, choosing to bike for 30 miles at a speed of $3x - 1$ miles per hour, followed by a transition period of 7 minutes to switch her gear and hydrate, and then runs 10 miles at speed $x$ miles per hour. Her total workout time now adds up to 150 minutes. Find out how fast Laura ran, with the answer rounded to the nearest hundredth of a mile per hour.

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