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None of the provided options is correct. Let's solve the equation step by step.
Start with the given equation:
13(6x - 9) = -33
Distribute 13 to the terms inside the parentheses:
78x - 117 = -33
Next, add 117 to both sides of the equation to isolate the variable term:
78x = 84
Then, divide both sides of the equation by 78 to solve for x:
x = 84/78
Simplify the fraction:
x = 14/13