
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 the values of $x$ that satisfy the matrix equation $\begin{pmatrix}3x & 3 \\ 2x & x\end{pmatrix} = -6$.
A) $x = 2 \text{ and } x = -1$
B) $x = 1 + i \text{ and } x = 1 - i$
C) $x = 3 \text{ and } x = -2$
D) The equation has no real solutions

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