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Simplifying 0.5(x + 4) + 0.25x = 8 Reorder the terms: 0.5(4 + x) + 0.25x = 8 (4 * 0.5 + x * 0.5) + 0.25x = 8 (2 + 0.5x) + 0.25x = 8 Combine like terms: 0.5x + 0.25x = 0.75x 2 + 0.75x = 8 Solving 2 + 0.75x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.75x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75x = 8 + -2 0.75x = 8 + -2 Combine like terms: 8 + -2 = 6 0.75x = 6 Divide each side by '0.75'. x = 8 Simplifying x = 8
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