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Simplifying 0.6923x + 0.25 = 0.4285 + -0.3076x + 0.4285 Reorder the terms: 0.25 + 0.6923x = 0.4285 + -0.3076x + 0.4285 Reorder the terms: 0.25 + 0.6923x = 0.4285 + 0.4285 + -0.3076x Combine like terms: 0.4285 + 0.4285 = 0.857 0.25 + 0.6923x = 0.857 + -0.3076x Solving 0.25 + 0.6923x = 0.857 + -0.3076x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3076x' to each side of the equation. 0.25 + 0.6923x + 0.3076x = 0.857 + -0.3076x + 0.3076x Combine like terms: 0.6923x + 0.3076x = 0.9999x 0.25 + 0.9999x = 0.857 + -0.3076x + 0.3076x Combine like terms: -0.3076x + 0.3076x = 0.0000 0.25 + 0.9999x = 0.857 + 0.0000 0.25 + 0.9999x = 0.857 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.9999x = 0.857 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.9999x = 0.857 + -0.25 0.9999x = 0.857 + -0.25 Combine like terms: 0.857 + -0.25 = 0.607 0.9999x = 0.607 Divide each side by '0.9999'. x = 0.6070607061 Simplifying x = 0.6070607061
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