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Simplifying 6(x + 3) + -5(x + -4) + -9 = 0 Reorder the terms: 6(3 + x) + -5(x + -4) + -9 = 0 (3 * 6 + x * 6) + -5(x + -4) + -9 = 0 (18 + 6x) + -5(x + -4) + -9 = 0 Reorder the terms: 18 + 6x + -5(-4 + x) + -9 = 0 18 + 6x + (-4 * -5 + x * -5) + -9 = 0 18 + 6x + (20 + -5x) + -9 = 0 Reorder the terms: 18 + 20 + -9 + 6x + -5x = 0 Combine like terms: 18 + 20 = 38 38 + -9 + 6x + -5x = 0 Combine like terms: 38 + -9 = 29 29 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 29 + 1x = 0 Solving 29 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 0 + -29 1x = 0 + -29 Combine like terms: 0 + -29 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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