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Simplifying 0.15(40) + 0.60X = 0.40(40 + X) Multiply 0.15 * 40 6 + 0.60X = 0.40(40 + X) 6 + 0.60X = (40 * 0.40 + X * 0.40) 6 + 0.60X = (16 + 0.40X) Solving 6 + 0.60X = 16 + 0.40X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.40X' to each side of the equation. 6 + 0.60X + -0.40X = 16 + 0.40X + -0.40X Combine like terms: 0.60X + -0.40X = 0.2X 6 + 0.2X = 16 + 0.40X + -0.40X Combine like terms: 0.40X + -0.40X = 0.00 6 + 0.2X = 16 + 0.00 6 + 0.2X = 16 Add '-6' to each side of the equation. 6 + -6 + 0.2X = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2X = 16 + -6 0.2X = 16 + -6 Combine like terms: 16 + -6 = 10 0.2X = 10 Divide each side by '0.2'. X = 50 Simplifying X = 50
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