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Simplifying 0.5(x + 4) + 0.25 = 8 Reorder the terms: 0.5(4 + x) + 0.25 = 8 (4 * 0.5 + x * 0.5) + 0.25 = 8 (2 + 0.5x) + 0.25 = 8 Reorder the terms: 2 + 0.25 + 0.5x = 8 Combine like terms: 2 + 0.25 = 2.25 2.25 + 0.5x = 8 Solving 2.25 + 0.5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + 0.5x = 8 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 0.5x = 8 + -2.25 0.5x = 8 + -2.25 Combine like terms: 8 + -2.25 = 5.75 0.5x = 5.75 Divide each side by '0.5'. x = 11.5 Simplifying x = 11.5
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