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Simplifying (X + 5)(x * 3 + -2x * 2 + x + 5) = 0 Reorder the terms: (5 + X)(x * 3 + -2x * 2 + x + 5) = 0 Reorder the terms for easier multiplication: (5 + X)(3x + -2x * 2 + x + 5) = 0 Reorder the terms for easier multiplication: (5 + X)(3x + -2 * 2x + x + 5) = 0 Multiply -2 * 2 (5 + X)(3x + -4x + x + 5) = 0 Reorder the terms: (5 + X)(5 + 3x + -4x + x) = 0 Combine like terms: 3x + -4x = -1x (5 + X)(5 + -1x + x) = 0 Combine like terms: -1x + x = 0 (5 + X)(5 + 0) = 0 (5 + X)(5) = 0 Reorder the terms for easier multiplication: 5(5 + X) = 0 (5 * 5 + X * 5) = 0 (25 + 5X) = 0 Solving 25 + 5X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5X = 0 + -25 5X = 0 + -25 Combine like terms: 0 + -25 = -25 5X = -25 Divide each side by '5'. X = -5 Simplifying X = -5
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