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Simplifying 0.1(200 + -1x) = 0.4x (200 * 0.1 + -1x * 0.1) = 0.4x (20 + -0.1x) = 0.4x Solving 20 + -0.1x = 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 20 + -0.1x + -0.4x = 0.4x + -0.4x Combine like terms: -0.1x + -0.4x = -0.5x 20 + -0.5x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 20 + -0.5x = 0.0 Add '-20' to each side of the equation. 20 + -20 + -0.5x = 0.0 + -20 Combine like terms: 20 + -20 = 0 0 + -0.5x = 0.0 + -20 -0.5x = 0.0 + -20 Combine like terms: 0.0 + -20 = -20 -0.5x = -20 Divide each side by '-0.5'. x = 40 Simplifying x = 40
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