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Simplifying 0.24(x + 55) + 0.47(x + 0.70) = -42.65 Reorder the terms: 0.24(55 + x) + 0.47(x + 0.70) = -42.65 (55 * 0.24 + x * 0.24) + 0.47(x + 0.70) = -42.65 (13.2 + 0.24x) + 0.47(x + 0.70) = -42.65 Reorder the terms: 13.2 + 0.24x + 0.47(0.70 + x) = -42.65 13.2 + 0.24x + (0.70 * 0.47 + x * 0.47) = -42.65 13.2 + 0.24x + (0.329 + 0.47x) = -42.65 Reorder the terms: 13.2 + 0.329 + 0.24x + 0.47x = -42.65 Combine like terms: 13.2 + 0.329 = 13.529 13.529 + 0.24x + 0.47x = -42.65 Combine like terms: 0.24x + 0.47x = 0.71x 13.529 + 0.71x = -42.65 Solving 13.529 + 0.71x = -42.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.529' to each side of the equation. 13.529 + -13.529 + 0.71x = -42.65 + -13.529 Combine like terms: 13.529 + -13.529 = 0.000 0.000 + 0.71x = -42.65 + -13.529 0.71x = -42.65 + -13.529 Combine like terms: -42.65 + -13.529 = -56.179 0.71x = -56.179 Divide each side by '0.71'. x = -79.12535211 Simplifying x = -79.12535211
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