
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
Suppose the equation \(4x - 7 + c = dx + 3\) has a unique solution for \(x\). Identify the condition necessary for this uniqueness.
A) \(d = 4\)
B) \(c = 4\)
C) \(d \neq 4\)
D) \(c \neq 10\)

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