
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 training for a marathon and decides to include additional exercises in her training schedule. She walks for $15$ minutes at a speed of $3$ miles per hour, bikes $30$ miles at $3x + 2$ miles per hour, then spends $10$ minutes transitioning to her running phase, and finally runs $10$ miles at $x$ miles per hour. Her entire workout, including transitions, lasts $205$ minutes. Determine how fast Laura runs during her training session, rounded to the nearest hundredth of a mile per hour.

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