
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 his spare time, Thomas likes making rectangular windows. He builds windows by taking four  $30\text{ cm}\times20\text{ cm}$  rectangles of glass and arranging them in a larger rectangle in wood. The window has an  $x\text{ cm}$  wide strip of wood between adjacent glass pieces and an  $x\text{ cm}$  wide strip of wood between each glass piece and the adjacent edge of the window. Given that the total area of the glass is equivalent to the total area of the wood, what is  $x$ ?

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