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Simplifying -9.78(27x + -65) = 78.24(6x + 24) Reorder the terms: -9.78(-65 + 27x) = 78.24(6x + 24) (-65 * -9.78 + 27x * -9.78) = 78.24(6x + 24) (635.7 + -264.06x) = 78.24(6x + 24) Reorder the terms: 635.7 + -264.06x = 78.24(24 + 6x) 635.7 + -264.06x = (24 * 78.24 + 6x * 78.24) 635.7 + -264.06x = (1877.76 + 469.44x) Solving 635.7 + -264.06x = 1877.76 + 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 = 1877.76 + 469.44x + -469.44x Combine like terms: -264.06x + -469.44x = -733.5x 635.7 + -733.5x = 1877.76 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 635.7 + -733.5x = 1877.76 + 0.00 635.7 + -733.5x = 1877.76 Add '-635.7' to each side of the equation. 635.7 + -635.7 + -733.5x = 1877.76 + -635.7 Combine like terms: 635.7 + -635.7 = 0.0 0.0 + -733.5x = 1877.76 + -635.7 -733.5x = 1877.76 + -635.7 Combine like terms: 1877.76 + -635.7 = 1242.06 -733.5x = 1242.06 Divide each side by '-733.5'. x = -1.693333333 Simplifying x = -1.693333333
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