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Simplifying 0.48(x + 30) + 0.28(x + 25) = -20.4 Reorder the terms: 0.48(30 + x) + 0.28(x + 25) = -20.4 (30 * 0.48 + x * 0.48) + 0.28(x + 25) = -20.4 (14.4 + 0.48x) + 0.28(x + 25) = -20.4 Reorder the terms: 14.4 + 0.48x + 0.28(25 + x) = -20.4 14.4 + 0.48x + (25 * 0.28 + x * 0.28) = -20.4 14.4 + 0.48x + (7 + 0.28x) = -20.4 Reorder the terms: 14.4 + 7 + 0.48x + 0.28x = -20.4 Combine like terms: 14.4 + 7 = 21.4 21.4 + 0.48x + 0.28x = -20.4 Combine like terms: 0.48x + 0.28x = 0.76x 21.4 + 0.76x = -20.4 Solving 21.4 + 0.76x = -20.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21.4' to each side of the equation. 21.4 + -21.4 + 0.76x = -20.4 + -21.4 Combine like terms: 21.4 + -21.4 = 0.0 0.0 + 0.76x = -20.4 + -21.4 0.76x = -20.4 + -21.4 Combine like terms: -20.4 + -21.4 = -41.8 0.76x = -41.8 Divide each side by '0.76'. x = -55 Simplifying x = -55
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