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Simplifying 0.60x + 0.30(90) = 0.50(x + 90) Multiply 0.30 * 90 0.60x + 27 = 0.50(x + 90) Reorder the terms: 27 + 0.60x = 0.50(x + 90) Reorder the terms: 27 + 0.60x = 0.50(90 + x) 27 + 0.60x = (90 * 0.50 + x * 0.50) 27 + 0.60x = (45 + 0.50x) Solving 27 + 0.60x = 45 + 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. 27 + 0.60x + -0.50x = 45 + 0.50x + -0.50x Combine like terms: 0.60x + -0.50x = 0.1x 27 + 0.1x = 45 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 27 + 0.1x = 45 + 0.00 27 + 0.1x = 45 Add '-27' to each side of the equation. 27 + -27 + 0.1x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 0.1x = 45 + -27 0.1x = 45 + -27 Combine like terms: 45 + -27 = 18 0.1x = 18 Divide each side by '0.1'. x = 180 Simplifying x = 180
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