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Simplifying 0.1x = 0.2x + 0.5 Reorder the terms: 0.1x = 0.5 + 0.2x Solving 0.1x = 0.5 + 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. 0.1x + -0.2x = 0.5 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x -0.1x = 0.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.1x = 0.5 + 0.0 -0.1x = 0.5 Divide each side by '-0.1'. x = -5 Simplifying x = -5
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