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Simplifying 0.8x + 0.50(x + 100) = 73.2 Reorder the terms: 0.8x + 0.50(100 + x) = 73.2 0.8x + (100 * 0.50 + x * 0.50) = 73.2 0.8x + (50 + 0.50x) = 73.2 Reorder the terms: 50 + 0.8x + 0.50x = 73.2 Combine like terms: 0.8x + 0.50x = 1.3x 50 + 1.3x = 73.2 Solving 50 + 1.3x = 73.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 1.3x = 73.2 + -50 Combine like terms: 50 + -50 = 0 0 + 1.3x = 73.2 + -50 1.3x = 73.2 + -50 Combine like terms: 73.2 + -50 = 23.2 1.3x = 23.2 Divide each side by '1.3'. x = 17.84615385 Simplifying x = 17.84615385
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