
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 $y = 2cx + 8$ and $y = 5x + d$ intersect the x-axis at the same point. Determine the sum of all possible x-coordinates of these points of intersection.
A) -9
B) -8.6
C) -8
D) -7.5
E) -7

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