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Simplifying 0.5x + 1 = 0.4x + 0.2 Reorder the terms: 1 + 0.5x = 0.4x + 0.2 Reorder the terms: 1 + 0.5x = 0.2 + 0.4x Solving 1 + 0.5x = 0.2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1 + 0.5x + -0.4x = 0.2 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 1 + 0.1x = 0.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1 + 0.1x = 0.2 + 0.0 1 + 0.1x = 0.2 Add '-1' to each side of the equation. 1 + -1 + 0.1x = 0.2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1x = 0.2 + -1 0.1x = 0.2 + -1 Combine like terms: 0.2 + -1 = -0.8 0.1x = -0.8 Divide each side by '0.1'. x = -8 Simplifying x = -8
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