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Simplifying 0.39(x + 60) + 0.38(x + 50) = -42.3 Reorder the terms: 0.39(60 + x) + 0.38(x + 50) = -42.3 (60 * 0.39 + x * 0.39) + 0.38(x + 50) = -42.3 (23.4 + 0.39x) + 0.38(x + 50) = -42.3 Reorder the terms: 23.4 + 0.39x + 0.38(50 + x) = -42.3 23.4 + 0.39x + (50 * 0.38 + x * 0.38) = -42.3 23.4 + 0.39x + (19 + 0.38x) = -42.3 Reorder the terms: 23.4 + 19 + 0.39x + 0.38x = -42.3 Combine like terms: 23.4 + 19 = 42.4 42.4 + 0.39x + 0.38x = -42.3 Combine like terms: 0.39x + 0.38x = 0.77x 42.4 + 0.77x = -42.3 Solving 42.4 + 0.77x = -42.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42.4' to each side of the equation. 42.4 + -42.4 + 0.77x = -42.3 + -42.4 Combine like terms: 42.4 + -42.4 = 0.0 0.0 + 0.77x = -42.3 + -42.4 0.77x = -42.3 + -42.4 Combine like terms: -42.3 + -42.4 = -84.7 0.77x = -84.7 Divide each side by '0.77'. x = -110 Simplifying x = -110
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