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Simplifying 0.34(x + 65) + 0.47(x + 25) = -39.05 Reorder the terms: 0.34(65 + x) + 0.47(x + 25) = -39.05 (65 * 0.34 + x * 0.34) + 0.47(x + 25) = -39.05 (22.1 + 0.34x) + 0.47(x + 25) = -39.05 Reorder the terms: 22.1 + 0.34x + 0.47(25 + x) = -39.05 22.1 + 0.34x + (25 * 0.47 + x * 0.47) = -39.05 22.1 + 0.34x + (11.75 + 0.47x) = -39.05 Reorder the terms: 22.1 + 11.75 + 0.34x + 0.47x = -39.05 Combine like terms: 22.1 + 11.75 = 33.85 33.85 + 0.34x + 0.47x = -39.05 Combine like terms: 0.34x + 0.47x = 0.81x 33.85 + 0.81x = -39.05 Solving 33.85 + 0.81x = -39.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33.85' to each side of the equation. 33.85 + -33.85 + 0.81x = -39.05 + -33.85 Combine like terms: 33.85 + -33.85 = 0.00 0.00 + 0.81x = -39.05 + -33.85 0.81x = -39.05 + -33.85 Combine like terms: -39.05 + -33.85 = -72.9 0.81x = -72.9 Divide each side by '0.81'. x = -90 Simplifying x = -90
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