
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 bridge over a river connects two different regions of a country. At one point, one of the regions repainted its section of the bridge. If the newly painted section were 1.2 times larger, it would constitute exactly half of the entire bridge. What fraction of the bridge still needs to be painted for it to be exactly half painted?

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