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Simplifying 15 = 0.5(x + 19) Reorder the terms: 15 = 0.5(19 + x) 15 = (19 * 0.5 + x * 0.5) 15 = (9.5 + 0.5x) Solving 15 = 9.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 15 + -0.5x = 9.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + -0.5x = 9.5 + 0.0 15 + -0.5x = 9.5 Add '-15' to each side of the equation. 15 + -15 + -0.5x = 9.5 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5x = 9.5 + -15 -0.5x = 9.5 + -15 Combine like terms: 9.5 + -15 = -5.5 -0.5x = -5.5 Divide each side by '-0.5'. x = 11 Simplifying x = 11
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