
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 a fruit shop, Xiaoming bought $1$ kilogram of apples, $4$ kilograms of watermelons, and $2$ kilograms of oranges for a total of $27.2$ yuan; Xiaohui bought $2$ kilograms of apples, $6$ kilograms of watermelons, and $2$ kilograms of oranges for a total of $32.4$ yuan. Then, the total cost of buying $1$ kilogram of apples and $2$ kilograms of watermelons is ______ yuan.

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