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Simplifying 0.5(x + 8) = 11.4 Reorder the terms: 0.5(8 + x) = 11.4 (8 * 0.5 + x * 0.5) = 11.4 (4 + 0.5x) = 11.4 Solving 4 + 0.5x = 11.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.5x = 11.4 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 11.4 + -4 0.5x = 11.4 + -4 Combine like terms: 11.4 + -4 = 7.4 0.5x = 7.4 Divide each side by '0.5'. x = 14.8 Simplifying x = 14.8
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