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Simplifying 0.20(120) + 0.50(x) = 0.40(x + 120) Multiply 0.20 * 120 24 + 0.50(x) = 0.40(x + 120) Reorder the terms: 24 + 0.50x = 0.40(120 + x) 24 + 0.50x = (120 * 0.40 + x * 0.40) 24 + 0.50x = (48 + 0.40x) Solving 24 + 0.50x = 48 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 24 + 0.50x + -0.40x = 48 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 24 + 0.1x = 48 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24 + 0.1x = 48 + 0.00 24 + 0.1x = 48 Add '-24' to each side of the equation. 24 + -24 + 0.1x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 0.1x = 48 + -24 0.1x = 48 + -24 Combine like terms: 48 + -24 = 24 0.1x = 24 Divide each side by '0.1'. x = 240 Simplifying x = 240
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