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Simplifying 64 = 0.5(80 + x) 64 = (80 * 0.5 + x * 0.5) 64 = (40 + 0.5x) Solving 64 = 40 + 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. 64 + -0.5x = 40 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 64 + -0.5x = 40 + 0.0 64 + -0.5x = 40 Add '-64' to each side of the equation. 64 + -64 + -0.5x = 40 + -64 Combine like terms: 64 + -64 = 0 0 + -0.5x = 40 + -64 -0.5x = 40 + -64 Combine like terms: 40 + -64 = -24 -0.5x = -24 Divide each side by '-0.5'. x = 48 Simplifying x = 48
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