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Simplifying 0.5(x + 8) + 0.6667x = 10 Reorder the terms: 0.5(8 + x) + 0.6667x = 10 (8 * 0.5 + x * 0.5) + 0.6667x = 10 (4 + 0.5x) + 0.6667x = 10 Combine like terms: 0.5x + 0.6667x = 1.1667x 4 + 1.1667x = 10 Solving 4 + 1.1667x = 10 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 + 1.1667x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1.1667x = 10 + -4 1.1667x = 10 + -4 Combine like terms: 10 + -4 = 6 1.1667x = 6 Divide each side by '1.1667'. x = 5.142710208 Simplifying x = 5.142710208
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