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Simplifying 9(2x + 4) + -4(5x + 8) = 0 Reorder the terms: 9(4 + 2x) + -4(5x + 8) = 0 (4 * 9 + 2x * 9) + -4(5x + 8) = 0 (36 + 18x) + -4(5x + 8) = 0 Reorder the terms: 36 + 18x + -4(8 + 5x) = 0 36 + 18x + (8 * -4 + 5x * -4) = 0 36 + 18x + (-32 + -20x) = 0 Reorder the terms: 36 + -32 + 18x + -20x = 0 Combine like terms: 36 + -32 = 4 4 + 18x + -20x = 0 Combine like terms: 18x + -20x = -2x 4 + -2x = 0 Solving 4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0 + -4 -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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