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Simplifying -0.4x + 2x = 0.5x + 9.5 Combine like terms: -0.4x + 2x = 1.6x 1.6x = 0.5x + 9.5 Reorder the terms: 1.6x = 9.5 + 0.5x Solving 1.6x = 9.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.6x + -0.5x = 9.5 + 0.5x + -0.5x Combine like terms: 1.6x + -0.5x = 1.1x 1.1x = 9.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.1x = 9.5 + 0.0 1.1x = 9.5 Divide each side by '1.1'. x = 8.636363636 Simplifying x = 8.636363636
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