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Simplifying x(0.25) + (77 + -1x)(0.5) = (x + 77 + -1x)(9.85) Reorder the terms for easier multiplication: 0.25x + (77 + -1x)(0.5) = (x + 77 + -1x)(9.85) Reorder the terms for easier multiplication: 0.25x + 0.5(77 + -1x) = (x + 77 + -1x)(9.85) 0.25x + (77 * 0.5 + -1x * 0.5) = (x + 77 + -1x)(9.85) 0.25x + (38.5 + -0.5x) = (x + 77 + -1x)(9.85) Reorder the terms: 38.5 + 0.25x + -0.5x = (x + 77 + -1x)(9.85) Combine like terms: 0.25x + -0.5x = -0.25x 38.5 + -0.25x = (x + 77 + -1x)(9.85) Reorder the terms: 38.5 + -0.25x = (77 + x + -1x)(9.85) Combine like terms: x + -1x = 0 38.5 + -0.25x = (77 + 0)(9.85) 38.5 + -0.25x = (77)(9.85) Multiply 77 * 9.85 38.5 + -0.25x = 758.45 Solving 38.5 + -0.25x = 758.45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38.5' to each side of the equation. 38.5 + -38.5 + -0.25x = 758.45 + -38.5 Combine like terms: 38.5 + -38.5 = 0.0 0.0 + -0.25x = 758.45 + -38.5 -0.25x = 758.45 + -38.5 Combine like terms: 758.45 + -38.5 = 719.95 -0.25x = 719.95 Divide each side by '-0.25'. x = -2879.8 Simplifying x = -2879.8
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