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Simplifying 21 = 0.25(X + 14) + (0.1X) Reorder the terms: 21 = 0.25(14 + X) + (0.1X) 21 = (14 * 0.25 + X * 0.25) + (0.1X) 21 = (3.5 + 0.25X) + (0.1X) Combine like terms: 0.25X + (0.1X) = 0.35X 21 = 3.5 + 0.35X Solving 21 = 3.5 + 0.35X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.35X' to each side of the equation. 21 + -0.35X = 3.5 + 0.35X + -0.35X Combine like terms: 0.35X + -0.35X = 0.00 21 + -0.35X = 3.5 + 0.00 21 + -0.35X = 3.5 Add '-21' to each side of the equation. 21 + -21 + -0.35X = 3.5 + -21 Combine like terms: 21 + -21 = 0 0 + -0.35X = 3.5 + -21 -0.35X = 3.5 + -21 Combine like terms: 3.5 + -21 = -17.5 -0.35X = -17.5 Divide each side by '-0.35'. X = 50 Simplifying X = 50
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