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Simplifying x * 0.85 + (400 + -1X) * 0.05 = 260 Reorder the terms for easier multiplication: 0.85x + (400 + -1X) * 0.05 = 260 Reorder the terms for easier multiplication: 0.85x + 0.05(400 + -1X) = 260 0.85x + (400 * 0.05 + -1X * 0.05) = 260 0.85x + (20 + -0.05X) = 260 Reorder the terms: 20 + -0.05X + 0.85x = 260 Solving 20 + -0.05X + 0.85x = 260 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -0.05X + -20 + 0.85x = 260 + -20 Reorder the terms: 20 + -20 + -0.05X + 0.85x = 260 + -20 Combine like terms: 20 + -20 = 0 0 + -0.05X + 0.85x = 260 + -20 -0.05X + 0.85x = 260 + -20 Combine like terms: 260 + -20 = 240 -0.05X + 0.85x = 240 Add '-0.85x' to each side of the equation. -0.05X + 0.85x + -0.85x = 240 + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 -0.05X + 0.00 = 240 + -0.85x -0.05X = 240 + -0.85x Divide each side by '-0.05'. X = -4800 + 17x Simplifying X = -4800 + 17x
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