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Simplifying -0.4x + 0.5 = -0.2x + 0.1 Reorder the terms: 0.5 + -0.4x = -0.2x + 0.1 Reorder the terms: 0.5 + -0.4x = 0.1 + -0.2x Solving 0.5 + -0.4x = 0.1 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.5 + -0.4x + 0.2x = 0.1 + -0.2x + 0.2x Combine like terms: -0.4x + 0.2x = -0.2x 0.5 + -0.2x = 0.1 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.5 + -0.2x = 0.1 + 0.0 0.5 + -0.2x = 0.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.2x = 0.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.2x = 0.1 + -0.5 -0.2x = 0.1 + -0.5 Combine like terms: 0.1 + -0.5 = -0.4 -0.2x = -0.4 Divide each side by '-0.2'. x = 2 Simplifying x = 2
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