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Simplifying 0.50x + 0.10(70) = 0.25(102) Multiply 0.10 * 70 0.50x + 7 = 0.25(102) Reorder the terms: 7 + 0.50x = 0.25(102) Multiply 0.25 * 102 7 + 0.50x = 25.5 Solving 7 + 0.50x = 25.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.50x = 25.5 + -7 Combine like terms: 7 + -7 = 0 0 + 0.50x = 25.5 + -7 0.50x = 25.5 + -7 Combine like terms: 25.5 + -7 = 18.5 0.50x = 18.5 Divide each side by '0.50'. x = 37 Simplifying x = 37
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