
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
Determine when the expressions $x + yz$ and $(x+y)(x+z)$ are equal, given that $x$, $y$, and $z$ are real numbers.
A) equal whenever $x + y + z = 1$ \\
B) never equal \\
C) equal only when $x = y = z = 0$ \\
D) equal whenever $x + y + z = 0$

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