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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 = -205.38x -635.7 + -205.38x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 -635.7 + -205.38x = 2660.16 + 0.00 -635.7 + -205.38x = 2660.16 Add '635.7' to each side of the equation. -635.7 + 635.7 + -205.38x = 2660.16 + 635.7 Combine like terms: -635.7 + 635.7 = 0.0 0.0 + -205.38x = 2660.16 + 635.7 -205.38x = 2660.16 + 635.7 Combine like terms: 2660.16 + 635.7 = 3295.86 -205.38x = 3295.86 Divide each side by '-205.38'. x = -16.04761905 Simplifying x = -16.04761905
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