
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 that the average of $a$, $b$, and $c$ is 5, and the average of $X$, $Y$, and $Z$ is 7, calculate the average of $2a+3X$, $2b+3Y$, and $2c+3Z$.

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