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Simplifying 0.85X + 0.05(6 + -1X) = 0.10(67) 0.85X + (6 * 0.05 + -1X * 0.05) = 0.10(67) 0.85X + (0.3 + -0.05X) = 0.10(67) Reorder the terms: 0.3 + 0.85X + -0.05X = 0.10(67) Combine like terms: 0.85X + -0.05X = 0.8X 0.3 + 0.8X = 0.10(67) Multiply 0.10 * 67 0.3 + 0.8X = 6.7 Solving 0.3 + 0.8X = 6.7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.8X = 6.7 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.8X = 6.7 + -0.3 0.8X = 6.7 + -0.3 Combine like terms: 6.7 + -0.3 = 6.4 0.8X = 6.4 Divide each side by '0.8'. X = 8 Simplifying X = 8
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