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Simplifying 0.5(x + 100) + 0.7x = 86 Reorder the terms: 0.5(100 + x) + 0.7x = 86 (100 * 0.5 + x * 0.5) + 0.7x = 86 (50 + 0.5x) + 0.7x = 86 Combine like terms: 0.5x + 0.7x = 1.2x 50 + 1.2x = 86 Solving 50 + 1.2x = 86 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 + 1.2x = 86 + -50 Combine like terms: 50 + -50 = 0 0 + 1.2x = 86 + -50 1.2x = 86 + -50 Combine like terms: 86 + -50 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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