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Simplifying 0.5 + 0.4x + -1 = 0.2x + x Reorder the terms: 0.5 + -1 + 0.4x = 0.2x + x Combine like terms: 0.5 + -1 = -0.5 -0.5 + 0.4x = 0.2x + x Combine like terms: 0.2x + x = 1.2x -0.5 + 0.4x = 1.2x Solving -0.5 + 0.4x = 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.5 + 0.4x + -1.2x = 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -0.5 + -0.8x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.5 + -0.8x = 0.0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.8x = 0.0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.8x = 0.0 + 0.5 -0.8x = 0.0 + 0.5 Combine like terms: 0.0 + 0.5 = 0.5 -0.8x = 0.5 Divide each side by '-0.8'. x = -0.625 Simplifying x = -0.625
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