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Simplifying 0.50x + 0.50(100) = 0.25(140) Multiply 0.50 * 100 0.50x + 50 = 0.25(140) Reorder the terms: 50 + 0.50x = 0.25(140) Multiply 0.25 * 140 50 + 0.50x = 35 Solving 50 + 0.50x = 35 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 + 0.50x = 35 + -50 Combine like terms: 50 + -50 = 0 0 + 0.50x = 35 + -50 0.50x = 35 + -50 Combine like terms: 35 + -50 = -15 0.50x = -15 Divide each side by '0.50'. x = -30 Simplifying x = -30
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