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Simplifying 5.5(8x + 6) + -4(6.5x + 2.5) = 0 Reorder the terms: 5.5(6 + 8x) + -4(6.5x + 2.5) = 0 (6 * 5.5 + 8x * 5.5) + -4(6.5x + 2.5) = 0 (33 + 44x) + -4(6.5x + 2.5) = 0 Reorder the terms: 33 + 44x + -4(2.5 + 6.5x) = 0 33 + 44x + (2.5 * -4 + 6.5x * -4) = 0 33 + 44x + (-10 + -26x) = 0 Reorder the terms: 33 + -10 + 44x + -26x = 0 Combine like terms: 33 + -10 = 23 23 + 44x + -26x = 0 Combine like terms: 44x + -26x = 18x 23 + 18x = 0 Solving 23 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 18x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 18x = 0 + -23 18x = 0 + -23 Combine like terms: 0 + -23 = -23 18x = -23 Divide each side by '18'. x = -1.277777778 Simplifying x = -1.277777778
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