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Simplifying 0.5(x + 50) + 0.7x = 61 Reorder the terms: 0.5(50 + x) + 0.7x = 61 (50 * 0.5 + x * 0.5) + 0.7x = 61 (25 + 0.5x) + 0.7x = 61 Combine like terms: 0.5x + 0.7x = 1.2x 25 + 1.2x = 61 Solving 25 + 1.2x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1.2x = 61 + -25 Combine like terms: 25 + -25 = 0 0 + 1.2x = 61 + -25 1.2x = 61 + -25 Combine like terms: 61 + -25 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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