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Simplifying 0.67x + 0.5 = 0.6x + -0.83 Reorder the terms: 0.5 + 0.67x = 0.6x + -0.83 Reorder the terms: 0.5 + 0.67x = -0.83 + 0.6x Solving 0.5 + 0.67x = -0.83 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.5 + 0.67x + -0.6x = -0.83 + 0.6x + -0.6x Combine like terms: 0.67x + -0.6x = 0.07x 0.5 + 0.07x = -0.83 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.5 + 0.07x = -0.83 + 0.0 0.5 + 0.07x = -0.83 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.07x = -0.83 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.07x = -0.83 + -0.5 0.07x = -0.83 + -0.5 Combine like terms: -0.83 + -0.5 = -1.33 0.07x = -1.33 Divide each side by '0.07'. x = -19 Simplifying x = -19
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