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Simplifying 0.75X + 0.05(12 + -1x) = 0.10(104) 0.75X + (12 * 0.05 + -1x * 0.05) = 0.10(104) 0.75X + (0.6 + -0.05x) = 0.10(104) Reorder the terms: 0.6 + 0.75X + -0.05x = 0.10(104) Multiply 0.10 * 104 0.6 + 0.75X + -0.05x = 10.4 Solving 0.6 + 0.75X + -0.05x = 10.4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + 0.75X + -0.6 + -0.05x = 10.4 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.75X + -0.05x = 10.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.75X + -0.05x = 10.4 + -0.6 0.75X + -0.05x = 10.4 + -0.6 Combine like terms: 10.4 + -0.6 = 9.8 0.75X + -0.05x = 9.8 Add '0.05x' to each side of the equation. 0.75X + -0.05x + 0.05x = 9.8 + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 0.75X + 0.00 = 9.8 + 0.05x 0.75X = 9.8 + 0.05x Divide each side by '0.75'. X = 13.06666667 + 0.06666666667x Simplifying X = 13.06666667 + 0.06666666667x
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