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Simplifying 0.28(x + 50) + 0.43(x + 30) = -29.9 Reorder the terms: 0.28(50 + x) + 0.43(x + 30) = -29.9 (50 * 0.28 + x * 0.28) + 0.43(x + 30) = -29.9 (14 + 0.28x) + 0.43(x + 30) = -29.9 Reorder the terms: 14 + 0.28x + 0.43(30 + x) = -29.9 14 + 0.28x + (30 * 0.43 + x * 0.43) = -29.9 14 + 0.28x + (12.9 + 0.43x) = -29.9 Reorder the terms: 14 + 12.9 + 0.28x + 0.43x = -29.9 Combine like terms: 14 + 12.9 = 26.9 26.9 + 0.28x + 0.43x = -29.9 Combine like terms: 0.28x + 0.43x = 0.71x 26.9 + 0.71x = -29.9 Solving 26.9 + 0.71x = -29.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26.9' to each side of the equation. 26.9 + -26.9 + 0.71x = -29.9 + -26.9 Combine like terms: 26.9 + -26.9 = 0.0 0.0 + 0.71x = -29.9 + -26.9 0.71x = -29.9 + -26.9 Combine like terms: -29.9 + -26.9 = -56.8 0.71x = -56.8 Divide each side by '0.71'. x = -80 Simplifying x = -80
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