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Simplifying 8(2x + -9) + 4(x + 4) = 0 Reorder the terms: 8(-9 + 2x) + 4(x + 4) = 0 (-9 * 8 + 2x * 8) + 4(x + 4) = 0 (-72 + 16x) + 4(x + 4) = 0 Reorder the terms: -72 + 16x + 4(4 + x) = 0 -72 + 16x + (4 * 4 + x * 4) = 0 -72 + 16x + (16 + 4x) = 0 Reorder the terms: -72 + 16 + 16x + 4x = 0 Combine like terms: -72 + 16 = -56 -56 + 16x + 4x = 0 Combine like terms: 16x + 4x = 20x -56 + 20x = 0 Solving -56 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 20x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 20x = 0 + 56 20x = 0 + 56 Combine like terms: 0 + 56 = 56 20x = 56 Divide each side by '20'. x = 2.8 Simplifying x = 2.8
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