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Simplifying 0.6x + 3.5 = 0.67x + 0.33 Reorder the terms: 3.5 + 0.6x = 0.67x + 0.33 Reorder the terms: 3.5 + 0.6x = 0.33 + 0.67x Solving 3.5 + 0.6x = 0.33 + 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. 3.5 + 0.6x + -0.67x = 0.33 + 0.67x + -0.67x Combine like terms: 0.6x + -0.67x = -0.07x 3.5 + -0.07x = 0.33 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 3.5 + -0.07x = 0.33 + 0.00 3.5 + -0.07x = 0.33 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.07x = 0.33 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.07x = 0.33 + -3.5 -0.07x = 0.33 + -3.5 Combine like terms: 0.33 + -3.5 = -3.17 -0.07x = -3.17 Divide each side by '-0.07'. x = 45.28571429 Simplifying x = 45.28571429
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