
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
Given the adjusted diagram, calculate the positive difference in the $x$-coordinates when lines **l** and **m** reach $y = 25.$ The line **l** passes through points $(0,10)$ and $(5,0)$ while line **m** passes through points $(0,5)$ and $(10,0).$

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