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Simplifying 0.26(x + 25) + 0.37(x + 55) = -23.55 Reorder the terms: 0.26(25 + x) + 0.37(x + 55) = -23.55 (25 * 0.26 + x * 0.26) + 0.37(x + 55) = -23.55 (6.5 + 0.26x) + 0.37(x + 55) = -23.55 Reorder the terms: 6.5 + 0.26x + 0.37(55 + x) = -23.55 6.5 + 0.26x + (55 * 0.37 + x * 0.37) = -23.55 6.5 + 0.26x + (20.35 + 0.37x) = -23.55 Reorder the terms: 6.5 + 20.35 + 0.26x + 0.37x = -23.55 Combine like terms: 6.5 + 20.35 = 26.85 26.85 + 0.26x + 0.37x = -23.55 Combine like terms: 0.26x + 0.37x = 0.63x 26.85 + 0.63x = -23.55 Solving 26.85 + 0.63x = -23.55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26.85' to each side of the equation. 26.85 + -26.85 + 0.63x = -23.55 + -26.85 Combine like terms: 26.85 + -26.85 = 0.00 0.00 + 0.63x = -23.55 + -26.85 0.63x = -23.55 + -26.85 Combine like terms: -23.55 + -26.85 = -50.4 0.63x = -50.4 Divide each side by '0.63'. x = -80 Simplifying x = -80
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