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Simplifying 9.78(27x + -63) = 78.24(6x + 34) Reorder the terms: 9.78(-63 + 27x) = 78.24(6x + 34) (-63 * 9.78 + 27x * 9.78) = 78.24(6x + 34) (-616.14 + 264.06x) = 78.24(6x + 34) Reorder the terms: -616.14 + 264.06x = 78.24(34 + 6x) -616.14 + 264.06x = (34 * 78.24 + 6x * 78.24) -616.14 + 264.06x = (2660.16 + 469.44x) Solving -616.14 + 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. -616.14 + 264.06x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: 264.06x + -469.44x = -205.38x -616.14 + -205.38x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 -616.14 + -205.38x = 2660.16 + 0.00 -616.14 + -205.38x = 2660.16 Add '616.14' to each side of the equation. -616.14 + 616.14 + -205.38x = 2660.16 + 616.14 Combine like terms: -616.14 + 616.14 = 0.00 0.00 + -205.38x = 2660.16 + 616.14 -205.38x = 2660.16 + 616.14 Combine like terms: 2660.16 + 616.14 = 3276.3 -205.38x = 3276.3 Divide each side by '-205.38'. x = -15.95238095 Simplifying x = -15.95238095
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