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Simplifying 0.2x + 0.4 = 1 + 0.1x Reorder the terms: 0.4 + 0.2x = 1 + 0.1x Solving 0.4 + 0.2x = 1 + 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. 0.4 + 0.2x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x 0.4 + 0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.4 + 0.1x = 1 + 0.0 0.4 + 0.1x = 1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1x = 1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1x = 1 + -0.4 0.1x = 1 + -0.4 Combine like terms: 1 + -0.4 = 0.6 0.1x = 0.6 Divide each side by '0.1'. x = 6 Simplifying x = 6
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