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Simplifying 0.5x + -0.2 = 0.4x + 5 Reorder the terms: -0.2 + 0.5x = 0.4x + 5 Reorder the terms: -0.2 + 0.5x = 5 + 0.4x Solving -0.2 + 0.5x = 5 + 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. -0.2 + 0.5x + -0.4x = 5 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -0.2 + 0.1x = 5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.2 + 0.1x = 5 + 0.0 -0.2 + 0.1x = 5 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.1x = 5 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.1x = 5 + 0.2 0.1x = 5 + 0.2 Combine like terms: 5 + 0.2 = 5.2 0.1x = 5.2 Divide each side by '0.1'. x = 52 Simplifying x = 52
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