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Simplifying -9.78(27x + -65) = 78.4(6x + 34) Reorder the terms: -9.78(-65 + 27x) = 78.4(6x + 34) (-65 * -9.78 + 27x * -9.78) = 78.4(6x + 34) (635.7 + -264.06x) = 78.4(6x + 34) Reorder the terms: 635.7 + -264.06x = 78.4(34 + 6x) 635.7 + -264.06x = (34 * 78.4 + 6x * 78.4) 635.7 + -264.06x = (2665.6 + 470.4x) Solving 635.7 + -264.06x = 2665.6 + 470.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-470.4x' to each side of the equation. 635.7 + -264.06x + -470.4x = 2665.6 + 470.4x + -470.4x Combine like terms: -264.06x + -470.4x = -734.46x 635.7 + -734.46x = 2665.6 + 470.4x + -470.4x Combine like terms: 470.4x + -470.4x = 0.0 635.7 + -734.46x = 2665.6 + 0.0 635.7 + -734.46x = 2665.6 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -734.46x = 2665.6 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -734.46x = 2665.6 + -635.7 -734.46x = 2665.6 + -635.7 Combine like terms: 2665.6 + -635.7 = 2029.9 -734.46x = 2029.9 Divide each side by '-734.46'. x = -2.763799254 Simplifying x = -2.763799254
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