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Simplifying 9(5 + x) + -6(x + 3) = 0 (5 * 9 + x * 9) + -6(x + 3) = 0 (45 + 9x) + -6(x + 3) = 0 Reorder the terms: 45 + 9x + -6(3 + x) = 0 45 + 9x + (3 * -6 + x * -6) = 0 45 + 9x + (-18 + -6x) = 0 Reorder the terms: 45 + -18 + 9x + -6x = 0 Combine like terms: 45 + -18 = 27 27 + 9x + -6x = 0 Combine like terms: 9x + -6x = 3x 27 + 3x = 0 Solving 27 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 0 + -27 3x = 0 + -27 Combine like terms: 0 + -27 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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