
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 painting measuring 20 inches by 30 inches is to be framed vertically. The width of the wood on the sides is x inches, and at the top and bottom, it is 3 times as wide as the sides. If the area of the frame equates to the area of the painting itself, find the ratio of the narrower to the wider dimension of the complete frame.
A) $\frac{1}{3}$
B) $\frac{1}{2}$
C) $\frac{2}{3}$
D) $\frac{3}{4}$
E) $\frac{1}{1}$

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