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Simplifying 0.4(1 + 0.5x) = -2 (1 * 0.4 + 0.5x * 0.4) = -2 (0.4 + 0.2x) = -2 Solving 0.4 + 0.2x = -2 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 + 0.2x = -2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.2x = -2 + -0.4 0.2x = -2 + -0.4 Combine like terms: -2 + -0.4 = -2.4 0.2x = -2.4 Divide each side by '0.2'. x = -12 Simplifying x = -12
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