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Simplifying 0.1 = 0.2x + 0.4 Reorder the terms: 0.1 = 0.4 + 0.2x Solving 0.1 = 0.4 + 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. 0.1 + -0.2x = 0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.1 + -0.2x = 0.4 + 0.0 0.1 + -0.2x = 0.4 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.2x = 0.4 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.2x = 0.4 + -0.1 -0.2x = 0.4 + -0.1 Combine like terms: 0.4 + -0.1 = 0.3 -0.2x = 0.3 Divide each side by '-0.2'. x = -1.5 Simplifying x = -1.5
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