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Simplifying x(0.05) + (77 + -1x)(0.25) = (x + 77 + -1x)(9.85) Reorder the terms for easier multiplication: 0.05x + (77 + -1x)(0.25) = (x + 77 + -1x)(9.85) Reorder the terms for easier multiplication: 0.05x + 0.25(77 + -1x) = (x + 77 + -1x)(9.85) 0.05x + (77 * 0.25 + -1x * 0.25) = (x + 77 + -1x)(9.85) 0.05x + (19.25 + -0.25x) = (x + 77 + -1x)(9.85) Reorder the terms: 19.25 + 0.05x + -0.25x = (x + 77 + -1x)(9.85) Combine like terms: 0.05x + -0.25x = -0.2x 19.25 + -0.2x = (x + 77 + -1x)(9.85) Reorder the terms: 19.25 + -0.2x = (77 + x + -1x)(9.85) Combine like terms: x + -1x = 0 19.25 + -0.2x = (77 + 0)(9.85) 19.25 + -0.2x = (77)(9.85) Multiply 77 * 9.85 19.25 + -0.2x = 758.45 Solving 19.25 + -0.2x = 758.45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.25' to each side of the equation. 19.25 + -19.25 + -0.2x = 758.45 + -19.25 Combine like terms: 19.25 + -19.25 = 0.00 0.00 + -0.2x = 758.45 + -19.25 -0.2x = 758.45 + -19.25 Combine like terms: 758.45 + -19.25 = 739.2 -0.2x = 739.2 Divide each side by '-0.2'. x = -3696 Simplifying x = -3696
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