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Simplifying 0.50(x + 100) + 0.30x = 66 Reorder the terms: 0.50(100 + x) + 0.30x = 66 (100 * 0.50 + x * 0.50) + 0.30x = 66 (50 + 0.50x) + 0.30x = 66 Combine like terms: 0.50x + 0.30x = 0.8x 50 + 0.8x = 66 Solving 50 + 0.8x = 66 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 + 0.8x = 66 + -50 Combine like terms: 50 + -50 = 0 0 + 0.8x = 66 + -50 0.8x = 66 + -50 Combine like terms: 66 + -50 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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