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Simplifying 32(x + 4) + -20(x + 5) = 0 Reorder the terms: 32(4 + x) + -20(x + 5) = 0 (4 * 32 + x * 32) + -20(x + 5) = 0 (128 + 32x) + -20(x + 5) = 0 Reorder the terms: 128 + 32x + -20(5 + x) = 0 128 + 32x + (5 * -20 + x * -20) = 0 128 + 32x + (-100 + -20x) = 0 Reorder the terms: 128 + -100 + 32x + -20x = 0 Combine like terms: 128 + -100 = 28 28 + 32x + -20x = 0 Combine like terms: 32x + -20x = 12x 28 + 12x = 0 Solving 28 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 0 + -28 12x = 0 + -28 Combine like terms: 0 + -28 = -28 12x = -28 Divide each side by '12'. x = -2.333333333 Simplifying x = -2.333333333
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