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Simplifying 0.2x + 0.1 = 0.5x + -0.5 Reorder the terms: 0.1 + 0.2x = 0.5x + -0.5 Reorder the terms: 0.1 + 0.2x = -0.5 + 0.5x Solving 0.1 + 0.2x = -0.5 + 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. 0.1 + 0.2x + -0.5x = -0.5 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 0.1 + -0.3x = -0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.1 + -0.3x = -0.5 + 0.0 0.1 + -0.3x = -0.5 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.3x = -0.5 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.3x = -0.5 + -0.1 -0.3x = -0.5 + -0.1 Combine like terms: -0.5 + -0.1 = -0.6 -0.3x = -0.6 Divide each side by '-0.3'. x = 2 Simplifying x = 2
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