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Simplifying 0.30x + 0.40(1 + -1x) = 0.32 0.30x + (1 * 0.40 + -1x * 0.40) = 0.32 0.30x + (0.4 + -0.4x) = 0.32 Reorder the terms: 0.4 + 0.30x + -0.4x = 0.32 Combine like terms: 0.30x + -0.4x = -0.1x 0.4 + -0.1x = 0.32 Solving 0.4 + -0.1x = 0.32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.1x = 0.32 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.1x = 0.32 + -0.4 -0.1x = 0.32 + -0.4 Combine like terms: 0.32 + -0.4 = -0.08 -0.1x = -0.08 Divide each side by '-0.1'. x = 0.8 Simplifying x = 0.8
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