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Simplifying 2(4x + -5) + 4(2x + 9) = 0 Reorder the terms: 2(-5 + 4x) + 4(2x + 9) = 0 (-5 * 2 + 4x * 2) + 4(2x + 9) = 0 (-10 + 8x) + 4(2x + 9) = 0 Reorder the terms: -10 + 8x + 4(9 + 2x) = 0 -10 + 8x + (9 * 4 + 2x * 4) = 0 -10 + 8x + (36 + 8x) = 0 Reorder the terms: -10 + 36 + 8x + 8x = 0 Combine like terms: -10 + 36 = 26 26 + 8x + 8x = 0 Combine like terms: 8x + 8x = 16x 26 + 16x = 0 Solving 26 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 16x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 16x = 0 + -26 16x = 0 + -26 Combine like terms: 0 + -26 = -26 16x = -26 Divide each side by '16'. x = -1.625 Simplifying x = -1.625
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