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Simplifying 0.428571x + 0.33 = 0.4 + -0.571428x + 0.4 Reorder the terms: 0.33 + 0.428571x = 0.4 + -0.571428x + 0.4 Reorder the terms: 0.33 + 0.428571x = 0.4 + 0.4 + -0.571428x Combine like terms: 0.4 + 0.4 = 0.8 0.33 + 0.428571x = 0.8 + -0.571428x Solving 0.33 + 0.428571x = 0.8 + -0.571428x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.571428x' to each side of the equation. 0.33 + 0.428571x + 0.571428x = 0.8 + -0.571428x + 0.571428x Combine like terms: 0.428571x + 0.571428x = 0.999999x 0.33 + 0.999999x = 0.8 + -0.571428x + 0.571428x Combine like terms: -0.571428x + 0.571428x = 0.000000 0.33 + 0.999999x = 0.8 + 0.000000 0.33 + 0.999999x = 0.8 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.999999x = 0.8 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.999999x = 0.8 + -0.33 0.999999x = 0.8 + -0.33 Combine like terms: 0.8 + -0.33 = 0.47 0.999999x = 0.47 Divide each side by '0.999999'. x = 0.47000047 Simplifying x = 0.47000047
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