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Simplifying 0.50x + 0.25(100) = 0.25(106) Multiply 0.25 * 100 0.50x + 25 = 0.25(106) Reorder the terms: 25 + 0.50x = 0.25(106) Multiply 0.25 * 106 25 + 0.50x = 26.5 Solving 25 + 0.50x = 26.5 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 + 0.50x = 26.5 + -25 Combine like terms: 25 + -25 = 0 0 + 0.50x = 26.5 + -25 0.50x = 26.5 + -25 Combine like terms: 26.5 + -25 = 1.5 0.50x = 1.5 Divide each side by '0.50'. x = 3 Simplifying x = 3
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