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Simplifying 0.5(x + 7) + x = 15.5 Reorder the terms: 0.5(7 + x) + x = 15.5 (7 * 0.5 + x * 0.5) + x = 15.5 (3.5 + 0.5x) + x = 15.5 Combine like terms: 0.5x + x = 1.5x 3.5 + 1.5x = 15.5 Solving 3.5 + 1.5x = 15.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 1.5x = 15.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1.5x = 15.5 + -3.5 1.5x = 15.5 + -3.5 Combine like terms: 15.5 + -3.5 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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