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Simplifying 9(2x + 9) + 5(3x + 1) = 0 Reorder the terms: 9(9 + 2x) + 5(3x + 1) = 0 (9 * 9 + 2x * 9) + 5(3x + 1) = 0 (81 + 18x) + 5(3x + 1) = 0 Reorder the terms: 81 + 18x + 5(1 + 3x) = 0 81 + 18x + (1 * 5 + 3x * 5) = 0 81 + 18x + (5 + 15x) = 0 Reorder the terms: 81 + 5 + 18x + 15x = 0 Combine like terms: 81 + 5 = 86 86 + 18x + 15x = 0 Combine like terms: 18x + 15x = 33x 86 + 33x = 0 Solving 86 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 33x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 33x = 0 + -86 33x = 0 + -86 Combine like terms: 0 + -86 = -86 33x = -86 Divide each side by '33'. x = -2.606060606 Simplifying x = -2.606060606
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