
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
There are two bottles containing a mixture of liquids with equal total weight. The weight ratio of water, oil, and vinegar in bottle (1) is $1 : 2 : 3$, and in bottle (2) it is $3 : 4 : 5$. After thoroughly mixing the contents of both bottles, what is the weight ratio of water, oil, and vinegar?

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