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Simplifying 0.5(x + 8) + 1.25 = 10 Reorder the terms: 0.5(8 + x) + 1.25 = 10 (8 * 0.5 + x * 0.5) + 1.25 = 10 (4 + 0.5x) + 1.25 = 10 Reorder the terms: 4 + 1.25 + 0.5x = 10 Combine like terms: 4 + 1.25 = 5.25 5.25 + 0.5x = 10 Solving 5.25 + 0.5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + 0.5x = 10 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 0.5x = 10 + -5.25 0.5x = 10 + -5.25 Combine like terms: 10 + -5.25 = 4.75 0.5x = 4.75 Divide each side by '0.5'. x = 9.5 Simplifying x = 9.5
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