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Simplifying 3(x + 8) + -8(x + -9) = 0 Reorder the terms: 3(8 + x) + -8(x + -9) = 0 (8 * 3 + x * 3) + -8(x + -9) = 0 (24 + 3x) + -8(x + -9) = 0 Reorder the terms: 24 + 3x + -8(-9 + x) = 0 24 + 3x + (-9 * -8 + x * -8) = 0 24 + 3x + (72 + -8x) = 0 Reorder the terms: 24 + 72 + 3x + -8x = 0 Combine like terms: 24 + 72 = 96 96 + 3x + -8x = 0 Combine like terms: 3x + -8x = -5x 96 + -5x = 0 Solving 96 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -5x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -5x = 0 + -96 -5x = 0 + -96 Combine like terms: 0 + -96 = -96 -5x = -96 Divide each side by '-5'. x = 19.2 Simplifying x = 19.2
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