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Simplifying x * 0.85 + (400 + -1X) * 0.15 = 260 Reorder the terms for easier multiplication: 0.85x + (400 + -1X) * 0.15 = 260 Reorder the terms for easier multiplication: 0.85x + 0.15(400 + -1X) = 260 0.85x + (400 * 0.15 + -1X * 0.15) = 260 0.85x + (60 + -0.15X) = 260 Reorder the terms: 60 + -0.15X + 0.85x = 260 Solving 60 + -0.15X + 0.85x = 260 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -0.15X + -60 + 0.85x = 260 + -60 Reorder the terms: 60 + -60 + -0.15X + 0.85x = 260 + -60 Combine like terms: 60 + -60 = 0 0 + -0.15X + 0.85x = 260 + -60 -0.15X + 0.85x = 260 + -60 Combine like terms: 260 + -60 = 200 -0.15X + 0.85x = 200 Add '-0.85x' to each side of the equation. -0.15X + 0.85x + -0.85x = 200 + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 -0.15X + 0.00 = 200 + -0.85x -0.15X = 200 + -0.85x Divide each side by '-0.15'. X = -1333.333333 + 5.666666667x Simplifying X = -1333.333333 + 5.666666667x
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