
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 $A$ and $B$ in the fraction $\frac{6x - 7}{3x^2 + 2x - 8}$, which is expressed as the sum of two simpler fractions: $\frac{A}{x - 2}$ and $\frac{B}{3x + 4}$.
A) $\frac{1}{2}, 4.5$
B) $1, -1.5$
C) $\frac{3}{2}, \frac{3}{5}$
D) $-\frac{1}{2}, -4.5$
E) $0, 5$

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