
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
Solve for \(x\) in the equation \(4x - 7 + c = dx + 3\), where \(c\) and \(d\) are real numbers. Determine under what condition there exists a unique solution for \(x\).
A) \(d \neq 0\)  B) \(d = 4\)  C) \(d \neq 4\)  D) \(c \neq -6\)

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