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Simplifying -9.78(28x + -65) = 78.24(6x + 34) Reorder the terms: -9.78(-65 + 28x) = 78.24(6x + 34) (-65 * -9.78 + 28x * -9.78) = 78.24(6x + 34) (635.7 + -273.84x) = 78.24(6x + 34) Reorder the terms: 635.7 + -273.84x = 78.24(34 + 6x) 635.7 + -273.84x = (34 * 78.24 + 6x * 78.24) 635.7 + -273.84x = (2660.16 + 469.44x) Solving 635.7 + -273.84x = 2660.16 + 469.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-469.44x' to each side of the equation. 635.7 + -273.84x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -273.84x + -469.44x = -743.28x 635.7 + -743.28x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 635.7 + -743.28x = 2660.16 + 0.00 635.7 + -743.28x = 2660.16 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -743.28x = 2660.16 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -743.28x = 2660.16 + -635.7 -743.28x = 2660.16 + -635.7 Combine like terms: 2660.16 + -635.7 = 2024.46 -743.28x = 2024.46 Divide each side by '-743.28'. x = -2.723684211 Simplifying x = -2.723684211
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