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Simplifying 0.375X + -0.3X + 6 = 0.166X Reorder the terms: 6 + 0.375X + -0.3X = 0.166X Combine like terms: 0.375X + -0.3X = 0.075X 6 + 0.075X = 0.166X Solving 6 + 0.075X = 0.166X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.166X' to each side of the equation. 6 + 0.075X + -0.166X = 0.166X + -0.166X Combine like terms: 0.075X + -0.166X = -0.091X 6 + -0.091X = 0.166X + -0.166X Combine like terms: 0.166X + -0.166X = 0.000 6 + -0.091X = 0.000 Add '-6' to each side of the equation. 6 + -6 + -0.091X = 0.000 + -6 Combine like terms: 6 + -6 = 0 0 + -0.091X = 0.000 + -6 -0.091X = 0.000 + -6 Combine like terms: 0.000 + -6 = -6 -0.091X = -6 Divide each side by '-0.091'. X = 65.93406593 Simplifying X = 65.93406593
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