
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 a parabola $y^2 = 4x$ with a chord passing through its focus and endpoints A and B, whose coordinates are A($x_1$, $y_1$) and B($x_2$, $y_2$) respectively. If $x_1 + x_2 = 6$, then the length of $|AB|$ is ____.

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