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Simplifying -9.8(27x + -65) = 78.24(6x + 34) Reorder the terms: -9.8(-65 + 27x) = 78.24(6x + 34) (-65 * -9.8 + 27x * -9.8) = 78.24(6x + 34) (637 + -264.6x) = 78.24(6x + 34) Reorder the terms: 637 + -264.6x = 78.24(34 + 6x) 637 + -264.6x = (34 * 78.24 + 6x * 78.24) 637 + -264.6x = (2660.16 + 469.44x) Solving 637 + -264.6x = 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. 637 + -264.6x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -264.6x + -469.44x = -734.04x 637 + -734.04x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 637 + -734.04x = 2660.16 + 0.00 637 + -734.04x = 2660.16 Add '-637' to each side of the equation. 637 + -637 + -734.04x = 2660.16 + -637 Combine like terms: 637 + -637 = 0 0 + -734.04x = 2660.16 + -637 -734.04x = 2660.16 + -637 Combine like terms: 2660.16 + -637 = 2023.16 -734.04x = 2023.16 Divide each side by '-734.04'. x = -2.756198572 Simplifying x = -2.756198572
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