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Simplifying -9.78(27x + -65) = 78(6x + 34) Reorder the terms: -9.78(-65 + 27x) = 78(6x + 34) (-65 * -9.78 + 27x * -9.78) = 78(6x + 34) (635.7 + -264.06x) = 78(6x + 34) Reorder the terms: 635.7 + -264.06x = 78(34 + 6x) 635.7 + -264.06x = (34 * 78 + 6x * 78) 635.7 + -264.06x = (2652 + 468x) Solving 635.7 + -264.06x = 2652 + 468x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-468x' to each side of the equation. 635.7 + -264.06x + -468x = 2652 + 468x + -468x Combine like terms: -264.06x + -468x = -732.06x 635.7 + -732.06x = 2652 + 468x + -468x Combine like terms: 468x + -468x = 0 635.7 + -732.06x = 2652 + 0 635.7 + -732.06x = 2652 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -732.06x = 2652 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -732.06x = 2652 + -635.7 -732.06x = 2652 + -635.7 Combine like terms: 2652 + -635.7 = 2016.3 -732.06x = 2016.3 Divide each side by '-732.06'. x = -2.754282436 Simplifying x = -2.754282436
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