
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
Positive integers $c$ and $d$ are such that the graphs of $y=7x+c$ and $y=2x+d$ intersect at the same x-coordinate on the x-axis. Identify the sum of all possible x-coordinates at these intersection points.
A) -15
B) -1
C) 1
D) 7
E) 14

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