
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
Ten unit squares are arranged in a 2 by 5 rectangle in the coordinate plane, with the lower left corner at the origin. A slanted line, extending from (d,0) to (5,2), divides the entire region into two regions of equal area. Find the value of d.

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