
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 now bikes 25 miles at a speed of $(2.5x + 2)$ miles per hour, then takes a 10-minute break to change into her running shoes and catch a breath before she runs 6 miles at $x$ miles per hour. The total duration of this workout, including her transition, sums up to 150 minutes. At what speed, to the nearest hundredth of a mile per hour, does Laura run?

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