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Simplifying 0.50x + 0.50(90) = 0.25(102) Multiply 0.50 * 90 0.50x + 45 = 0.25(102) Reorder the terms: 45 + 0.50x = 0.25(102) Multiply 0.25 * 102 45 + 0.50x = 25.5 Solving 45 + 0.50x = 25.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 0.50x = 25.5 + -45 Combine like terms: 45 + -45 = 0 0 + 0.50x = 25.5 + -45 0.50x = 25.5 + -45 Combine like terms: 25.5 + -45 = -19.5 0.50x = -19.5 Divide each side by '0.50'. x = -39 Simplifying x = -39
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