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To solve for x, we will first simplify the equation.
1/3(6x−9)=−33
First, distribute 1/3 to (6x - 9):
2x - 3 = -33
Next, add 3 to both sides of the equation:
2x - 3 + 3 = -33 + 3
2x = -30
Finally, divide both sides of the equation by 2 to solve for x:
(2x)/2 = -30/2
x = -15
Therefore, the solution is x = -15.