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Simplifying -9.78(27x + -65) = 78.24(6x + 34) Reorder the terms: -9.78(-65 + 27x) = 78.24(6x + 34) (-65 * -9.78 + 27x * -9.78) = 78.24(6x + 34) (635.7 + -264.06x) = 78.24(6x + 34) Reorder the terms: 635.7 + -264.06x = 78.24(34 + 6x) 635.7 + -264.06x = (34 * 78.24 + 6x * 78.24) 635.7 + -264.06x = (2660.16 + 469.44x) Solving 635.7 + -264.06x = 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 + -264.06x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -264.06x + -469.44x = -733.5x 635.7 + -733.5x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 635.7 + -733.5x = 2660.16 + 0.00 635.7 + -733.5x = 2660.16 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -733.5x = 2660.16 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -733.5x = 2660.16 + -635.7 -733.5x = 2660.16 + -635.7 Combine like terms: 2660.16 + -635.7 = 2024.46 -733.5x = 2024.46 Divide each side by '-733.5'. x = -2.76 Simplifying x = -2.76
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