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Simplifying 8(4x + 9) + -4(3x + -9) = 0 Reorder the terms: 8(9 + 4x) + -4(3x + -9) = 0 (9 * 8 + 4x * 8) + -4(3x + -9) = 0 (72 + 32x) + -4(3x + -9) = 0 Reorder the terms: 72 + 32x + -4(-9 + 3x) = 0 72 + 32x + (-9 * -4 + 3x * -4) = 0 72 + 32x + (36 + -12x) = 0 Reorder the terms: 72 + 36 + 32x + -12x = 0 Combine like terms: 72 + 36 = 108 108 + 32x + -12x = 0 Combine like terms: 32x + -12x = 20x 108 + 20x = 0 Solving 108 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 20x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 20x = 0 + -108 20x = 0 + -108 Combine like terms: 0 + -108 = -108 20x = -108 Divide each side by '20'. x = -5.4 Simplifying x = -5.4
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