
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
Determine the area of the triangle in square units using the diagram below:

[asy]size(125);
draw((-12,-2) -- (4,12), Arrows);
draw((0,-2)-- (0,12), Arrows);
draw((7,0) -- (-12,0), Arrows);

label("$l$", (4,12), NE);
label("$x$", (7,0), E);
label("$y$", (0,-2), S);
filldraw((-10,0) -- (0,10) -- (0,0) -- cycle, lightgray);
dot((-3, 7)); dot((-7, 3)); label("(-3, 7)", (-3, 7), W, fontsize(10)); label("(-7, 3)", (-7, 3), W, fontsize(10));
[/asy]

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