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Simplifying 0.375x + -0.333x + 6 = 0.16666667x Reorder the terms: 6 + 0.375x + -0.333x = 0.16666667x Combine like terms: 0.375x + -0.333x = 0.042x 6 + 0.042x = 0.16666667x Solving 6 + 0.042x = 0.16666667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16666667x' to each side of the equation. 6 + 0.042x + -0.16666667x = 0.16666667x + -0.16666667x Combine like terms: 0.042x + -0.16666667x = -0.12466667x 6 + -0.12466667x = 0.16666667x + -0.16666667x Combine like terms: 0.16666667x + -0.16666667x = 0.00000000 6 + -0.12466667x = 0.00000000 Add '-6' to each side of the equation. 6 + -6 + -0.12466667x = 0.00000000 + -6 Combine like terms: 6 + -6 = 0 0 + -0.12466667x = 0.00000000 + -6 -0.12466667x = 0.00000000 + -6 Combine like terms: 0.00000000 + -6 = -6 -0.12466667x = -6 Divide each side by '-0.12466667'. x = 48.12834096 Simplifying x = 48.12834096
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