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Simplifying 19 = 0.5(13 + x) 19 = (13 * 0.5 + x * 0.5) 19 = (6.5 + 0.5x) Solving 19 = 6.5 + 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. 19 + -0.5x = 6.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 19 + -0.5x = 6.5 + 0.0 19 + -0.5x = 6.5 Add '-19' to each side of the equation. 19 + -19 + -0.5x = 6.5 + -19 Combine like terms: 19 + -19 = 0 0 + -0.5x = 6.5 + -19 -0.5x = 6.5 + -19 Combine like terms: 6.5 + -19 = -12.5 -0.5x = -12.5 Divide each side by '-0.5'. x = 25 Simplifying x = 25
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