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Simplifying 0.50x + 0.30(40) = 0.25(130) Multiply 0.30 * 40 0.50x + 12 = 0.25(130) Reorder the terms: 12 + 0.50x = 0.25(130) Multiply 0.25 * 130 12 + 0.50x = 32.5 Solving 12 + 0.50x = 32.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.50x = 32.5 + -12 Combine like terms: 12 + -12 = 0 0 + 0.50x = 32.5 + -12 0.50x = 32.5 + -12 Combine like terms: 32.5 + -12 = 20.5 0.50x = 20.5 Divide each side by '0.50'. x = 41 Simplifying x = 41
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