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Simplifying 0.70x + 0.30(80) = 0.60(x + 80) Multiply 0.30 * 80 0.70x + 24 = 0.60(x + 80) Reorder the terms: 24 + 0.70x = 0.60(x + 80) Reorder the terms: 24 + 0.70x = 0.60(80 + x) 24 + 0.70x = (80 * 0.60 + x * 0.60) 24 + 0.70x = (48 + 0.60x) Solving 24 + 0.70x = 48 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 24 + 0.70x + -0.60x = 48 + 0.60x + -0.60x Combine like terms: 0.70x + -0.60x = 0.1x 24 + 0.1x = 48 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 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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