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Simplifying 8(3 + -2x + -3x) + 8(2x + 9) = 0 Combine like terms: -2x + -3x = -5x 8(3 + -5x) + 8(2x + 9) = 0 (3 * 8 + -5x * 8) + 8(2x + 9) = 0 (24 + -40x) + 8(2x + 9) = 0 Reorder the terms: 24 + -40x + 8(9 + 2x) = 0 24 + -40x + (9 * 8 + 2x * 8) = 0 24 + -40x + (72 + 16x) = 0 Reorder the terms: 24 + 72 + -40x + 16x = 0 Combine like terms: 24 + 72 = 96 96 + -40x + 16x = 0 Combine like terms: -40x + 16x = -24x 96 + -24x = 0 Solving 96 + -24x = 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 + -24x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -24x = 0 + -96 -24x = 0 + -96 Combine like terms: 0 + -96 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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