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Simplifying 0.1x + 0.5(40 + -1x) = 32 0.1x + (40 * 0.5 + -1x * 0.5) = 32 0.1x + (20 + -0.5x) = 32 Reorder the terms: 20 + 0.1x + -0.5x = 32 Combine like terms: 0.1x + -0.5x = -0.4x 20 + -0.4x = 32 Solving 20 + -0.4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -0.4x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -0.4x = 32 + -20 -0.4x = 32 + -20 Combine like terms: 32 + -20 = 12 -0.4x = 12 Divide each side by '-0.4'. x = -30 Simplifying x = -30
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