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Simplifying 44 = 0.5(65 + x) 44 = (65 * 0.5 + x * 0.5) 44 = (32.5 + 0.5x) Solving 44 = 32.5 + 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. 44 + -0.5x = 32.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 44 + -0.5x = 32.5 + 0.0 44 + -0.5x = 32.5 Add '-44' to each side of the equation. 44 + -44 + -0.5x = 32.5 + -44 Combine like terms: 44 + -44 = 0 0 + -0.5x = 32.5 + -44 -0.5x = 32.5 + -44 Combine like terms: 32.5 + -44 = -11.5 -0.5x = -11.5 Divide each side by '-0.5'. x = 23 Simplifying x = 23
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