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Simplifying -9.78(27x + -25) = 78.24(6x + 34) Reorder the terms: -9.78(-25 + 27x) = 78.24(6x + 34) (-25 * -9.78 + 27x * -9.78) = 78.24(6x + 34) (244.5 + -264.06x) = 78.24(6x + 34) Reorder the terms: 244.5 + -264.06x = 78.24(34 + 6x) 244.5 + -264.06x = (34 * 78.24 + 6x * 78.24) 244.5 + -264.06x = (2660.16 + 469.44x) Solving 244.5 + -264.06x = 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. 244.5 + -264.06x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -264.06x + -469.44x = -733.5x 244.5 + -733.5x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 244.5 + -733.5x = 2660.16 + 0.00 244.5 + -733.5x = 2660.16 Add '-244.5' to each side of the equation. 244.5 + -244.5 + -733.5x = 2660.16 + -244.5 Combine like terms: 244.5 + -244.5 = 0.0 0.0 + -733.5x = 2660.16 + -244.5 -733.5x = 2660.16 + -244.5 Combine like terms: 2660.16 + -244.5 = 2415.66 -733.5x = 2415.66 Divide each side by '-733.5'. x = -3.293333333 Simplifying x = -3.293333333
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