
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
Line $l$ in the coordinate plane has equation $4x - 3y + 50 = 0$. This line is rotated $30^{\circ}$ counterclockwise about the point $(10,10)$ to obtain line $m$. What is the $x$-coordinate of the $x$-intercept of line $m$?
A) 28
B) 30
C) 34
D) 35
E) 36

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