
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 laser is placed at the point $(4,7)$. The laser beam travels in a straight line. Larry wants the beam to hit and bounce off the $y$-axis, then hit and bounce off the $x$-axis, then hit the point $(10,7)$. What is the total distance the beam will travel along this path?
**A)** $10\sqrt{2}$
**B)** $12\sqrt{2}$
**C)** $14\sqrt{2}$
**D)** $16\sqrt{2}$
**E)** $18\sqrt{2}$

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