
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 \( a \) and \( b \) are such that the graph of \( y = ax + 7 \) intersects the \( x \)-axis at the same point as \( y = 5x + b \). Find the sum of all possible \( x \)-coordinates of these points of intersection.
A) \(\frac{-8}{5}\)
B) \(\frac{-48}{5}\)
C) \(-10\)
D) \(-8\)
E) \(-9.6\)

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