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Simplifying 0.2x + 0.3 = 0.1x + 0.5 Reorder the terms: 0.3 + 0.2x = 0.1x + 0.5 Reorder the terms: 0.3 + 0.2x = 0.5 + 0.1x Solving 0.3 + 0.2x = 0.5 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.3 + 0.2x + -0.1x = 0.5 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x 0.3 + 0.1x = 0.5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.3 + 0.1x = 0.5 + 0.0 0.3 + 0.1x = 0.5 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.1x = 0.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.1x = 0.5 + -0.3 0.1x = 0.5 + -0.3 Combine like terms: 0.5 + -0.3 = 0.2 0.1x = 0.2 Divide each side by '0.1'. x = 2 Simplifying x = 2
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