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Simplifying 0.2x + 0.4 = 4 + -0.1x Reorder the terms: 0.4 + 0.2x = 4 + -0.1x Solving 0.4 + 0.2x = 4 + -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 = 4 + -0.1x + 0.1x Combine like terms: 0.2x + 0.1x = 0.3x 0.4 + 0.3x = 4 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 0.4 + 0.3x = 4 + 0.0 0.4 + 0.3x = 4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.3x = 4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.3x = 4 + -0.4 0.3x = 4 + -0.4 Combine like terms: 4 + -0.4 = 3.6 0.3x = 3.6 Divide each side by '0.3'. x = 12 Simplifying x = 12
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