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Simplifying -0.25(12x + 4) + 0.11(45x + 18) = 0 Reorder the terms: -0.25(4 + 12x) + 0.11(45x + 18) = 0 (4 * -0.25 + 12x * -0.25) + 0.11(45x + 18) = 0 (-1 + -3x) + 0.11(45x + 18) = 0 Reorder the terms: -1 + -3x + 0.11(18 + 45x) = 0 -1 + -3x + (18 * 0.11 + 45x * 0.11) = 0 -1 + -3x + (1.98 + 4.95x) = 0 Reorder the terms: -1 + 1.98 + -3x + 4.95x = 0 Combine like terms: -1 + 1.98 = 0.98 0.98 + -3x + 4.95x = 0 Combine like terms: -3x + 4.95x = 1.95x 0.98 + 1.95x = 0 Solving 0.98 + 1.95x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.98' to each side of the equation. 0.98 + -0.98 + 1.95x = 0 + -0.98 Combine like terms: 0.98 + -0.98 = 0.00 0.00 + 1.95x = 0 + -0.98 1.95x = 0 + -0.98 Combine like terms: 0 + -0.98 = -0.98 1.95x = -0.98 Divide each side by '1.95'. x = -0.5025641026 Simplifying x = -0.5025641026
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