
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
A string of unit length is randomly cut into two pieces. What is the probability that the longer piece is exactly $x$ times the length of the shorter piece?
**A)** 0  
**B)** $\frac{1}{2}$  
**C)** $\frac{1}{x + 1}$  
**D)** $\frac{2}{x + 1}$  
**E)** $\frac{1}{x}$

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