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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 = 78 + (34 * 24 + 6x * 24) 635.7 + -264.06x = 78 + (816 + 144x) Combine like terms: 78 + 816 = 894 635.7 + -264.06x = 894 + 144x Solving 635.7 + -264.06x = 894 + 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. 635.7 + -264.06x + -144x = 894 + 144x + -144x Combine like terms: -264.06x + -144x = -408.06x 635.7 + -408.06x = 894 + 144x + -144x Combine like terms: 144x + -144x = 0 635.7 + -408.06x = 894 + 0 635.7 + -408.06x = 894 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -408.06x = 894 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -408.06x = 894 + -635.7 -408.06x = 894 + -635.7 Combine like terms: 894 + -635.7 = 258.3 -408.06x = 258.3 Divide each side by '-408.06'. x = -0.6329951478 Simplifying x = -0.6329951478
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