
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
Given the age $x$ (in years) and weight $y$ (in kilograms) data of 10 children, the regression equation to predict weight based on age using the least squares method is $y = 2x + 7$. If the ages of these 10 children are 2, 3, 3, 5, 2, 6, 7, 3, 4, and 5, respectively, calculate the average weight of these 10 children.

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