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Simplifying -0.33(12x + 6) + 0.11(54x + 45) = 0 Reorder the terms: -0.33(6 + 12x) + 0.11(54x + 45) = 0 (6 * -0.33 + 12x * -0.33) + 0.11(54x + 45) = 0 (-1.98 + -3.96x) + 0.11(54x + 45) = 0 Reorder the terms: -1.98 + -3.96x + 0.11(45 + 54x) = 0 -1.98 + -3.96x + (45 * 0.11 + 54x * 0.11) = 0 -1.98 + -3.96x + (4.95 + 5.94x) = 0 Reorder the terms: -1.98 + 4.95 + -3.96x + 5.94x = 0 Combine like terms: -1.98 + 4.95 = 2.97 2.97 + -3.96x + 5.94x = 0 Combine like terms: -3.96x + 5.94x = 1.98x 2.97 + 1.98x = 0 Solving 2.97 + 1.98x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97' to each side of the equation. 2.97 + -2.97 + 1.98x = 0 + -2.97 Combine like terms: 2.97 + -2.97 = 0.00 0.00 + 1.98x = 0 + -2.97 1.98x = 0 + -2.97 Combine like terms: 0 + -2.97 = -2.97 1.98x = -2.97 Divide each side by '1.98'. x = -1.5 Simplifying x = -1.5
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