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Simplifying -9.79(27x + -65) = 78.24(6x + 34) Reorder the terms: -9.79(-65 + 27x) = 78.24(6x + 34) (-65 * -9.79 + 27x * -9.79) = 78.24(6x + 34) (636.35 + -264.33x) = 78.24(6x + 34) Reorder the terms: 636.35 + -264.33x = 78.24(34 + 6x) 636.35 + -264.33x = (34 * 78.24 + 6x * 78.24) 636.35 + -264.33x = (2660.16 + 469.44x) Solving 636.35 + -264.33x = 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. 636.35 + -264.33x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -264.33x + -469.44x = -733.77x 636.35 + -733.77x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 636.35 + -733.77x = 2660.16 + 0.00 636.35 + -733.77x = 2660.16 Add '-636.35' to each side of the equation. 636.35 + -636.35 + -733.77x = 2660.16 + -636.35 Combine like terms: 636.35 + -636.35 = 0.00 0.00 + -733.77x = 2660.16 + -636.35 -733.77x = 2660.16 + -636.35 Combine like terms: 2660.16 + -636.35 = 2023.81 -733.77x = 2023.81 Divide each side by '-733.77'. x = -2.758098587 Simplifying x = -2.758098587
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