
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
In triangle XYZ, for $\angle X$ to be the largest angle, side lengths are given by $XY = x+6$, $XZ = 4x-1$, and $YZ = x+10$. Determine the smallest possible value of $x+10 - (x+6)$, expressed as a common fraction.

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