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To solve for x, we will first distribute the 1/3 to the terms inside the parentheses:
(1/3)(6x-9) = (-33)
2x-3 = -33
Next, we add 3 to both sides of the equation:
2x-3+3 = -33+3
2x = -30
Finally, we divide both sides of the equation by 2 to isolate x:
(1/2)(2x) = (-30)(1/2)
x = -30(1/2)
Therefore, the solution is x = -15.
The answer is B. x = -15.