
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
At a given time, the depth of snow in Kingston is \(12.1 \text{ cm}\) and the depth of snow in Hamilton is \(18.6 \text{ cm}\). Over the next thirteen hours, it snows at a constant rate of \(2.6 \text{ cm}\) per hour in Kingston and at a constant rate of \(x \text{ cm}\) per hour in Hamilton. At the end of these thirteen hours, the depth of snow in Kingston is the same as the depth of snow in Hamilton. What is the value of \(x\)?

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