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Simplifying 0.60x + 0.15(80) = 0.50(x + 80) Multiply 0.15 * 80 0.60x + 12 = 0.50(x + 80) Reorder the terms: 12 + 0.60x = 0.50(x + 80) Reorder the terms: 12 + 0.60x = 0.50(80 + x) 12 + 0.60x = (80 * 0.50 + x * 0.50) 12 + 0.60x = (40 + 0.50x) Solving 12 + 0.60x = 40 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 12 + 0.60x + -0.50x = 40 + 0.50x + -0.50x Combine like terms: 0.60x + -0.50x = 0.1x 12 + 0.1x = 40 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 12 + 0.1x = 40 + 0.00 12 + 0.1x = 40 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 40 + -12 0.1x = 40 + -12 Combine like terms: 40 + -12 = 28 0.1x = 28 Divide each side by '0.1'. x = 280 Simplifying x = 280
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