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Simplifying 0.5(1 + 0.5x) = -5 (1 * 0.5 + 0.5x * 0.5) = -5 (0.5 + 0.25x) = -5 Solving 0.5 + 0.25x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.25x = -5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.25x = -5 + -0.5 0.25x = -5 + -0.5 Combine like terms: -5 + -0.5 = -5.5 0.25x = -5.5 Divide each side by '0.25'. x = -22 Simplifying x = -22
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