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Simplifying 0.5(x) + 0.5(x + 6) = 20 Reorder the terms: 0.5x + 0.5(6 + x) = 20 0.5x + (6 * 0.5 + x * 0.5) = 20 0.5x + (3 + 0.5x) = 20 Reorder the terms: 3 + 0.5x + 0.5x = 20 Combine like terms: 0.5x + 0.5x = 1x 3 + 1x = 20 Solving 3 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 20 + -3 1x = 20 + -3 Combine like terms: 20 + -3 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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