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Simplifying x + 0.5(x) + 11 + 0.75(x) + 12 = 68 Reorder the terms: 11 + 12 + x + 0.5x + 0.75x = 68 Combine like terms: 11 + 12 = 23 23 + x + 0.5x + 0.75x = 68 Combine like terms: x + 0.5x = 1.5x 23 + 1.5x + 0.75x = 68 Combine like terms: 1.5x + 0.75x = 2.25x 23 + 2.25x = 68 Solving 23 + 2.25x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2.25x = 68 + -23 Combine like terms: 23 + -23 = 0 0 + 2.25x = 68 + -23 2.25x = 68 + -23 Combine like terms: 68 + -23 = 45 2.25x = 45 Divide each side by '2.25'. x = 20 Simplifying x = 20
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