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Simplifying 0.60x + 0.45(40) = 0.30(142) Multiply 0.45 * 40 0.60x + 18 = 0.30(142) Reorder the terms: 18 + 0.60x = 0.30(142) Multiply 0.30 * 142 18 + 0.60x = 42.6 Solving 18 + 0.60x = 42.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 0.60x = 42.6 + -18 Combine like terms: 18 + -18 = 0 0 + 0.60x = 42.6 + -18 0.60x = 42.6 + -18 Combine like terms: 42.6 + -18 = 24.6 0.60x = 24.6 Divide each side by '0.60'. x = 41 Simplifying x = 41
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