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Simplifying 0.4x + 6 = 0.67x + 10 Reorder the terms: 6 + 0.4x = 0.67x + 10 Reorder the terms: 6 + 0.4x = 10 + 0.67x Solving 6 + 0.4x = 10 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. 6 + 0.4x + -0.67x = 10 + 0.67x + -0.67x Combine like terms: 0.4x + -0.67x = -0.27x 6 + -0.27x = 10 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 6 + -0.27x = 10 + 0.00 6 + -0.27x = 10 Add '-6' to each side of the equation. 6 + -6 + -0.27x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -0.27x = 10 + -6 -0.27x = 10 + -6 Combine like terms: 10 + -6 = 4 -0.27x = 4 Divide each side by '-0.27'. x = -14.81481481 Simplifying x = -14.81481481
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