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Simplifying 0.40X + 0.05(18 + -1X) = 0.10(26) 0.40X + (18 * 0.05 + -1X * 0.05) = 0.10(26) 0.40X + (0.9 + -0.05X) = 0.10(26) Reorder the terms: 0.9 + 0.40X + -0.05X = 0.10(26) Combine like terms: 0.40X + -0.05X = 0.35X 0.9 + 0.35X = 0.10(26) Multiply 0.10 * 26 0.9 + 0.35X = 2.6 Solving 0.9 + 0.35X = 2.6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.35X = 2.6 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.35X = 2.6 + -0.9 0.35X = 2.6 + -0.9 Combine like terms: 2.6 + -0.9 = 1.7 0.35X = 1.7 Divide each side by '0.35'. X = 4.857142857 Simplifying X = 4.857142857
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