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Simplifying (X + 3)(2x + -5) = 8 Reorder the terms: (3 + X)(2x + -5) = 8 Reorder the terms: (3 + X)(-5 + 2x) = 8 Multiply (3 + X) * (-5 + 2x) (3(-5 + 2x) + X(-5 + 2x)) = 8 ((-5 * 3 + 2x * 3) + X(-5 + 2x)) = 8 ((-15 + 6x) + X(-5 + 2x)) = 8 (-15 + 6x + (-5 * X + 2x * X)) = 8 (-15 + 6x + (-5X + 2xX)) = 8 Reorder the terms: (-15 + -5X + 6x + 2xX) = 8 (-15 + -5X + 6x + 2xX) = 8 Solving -15 + -5X + 6x + 2xX = 8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5X + 6x + 15 + 2xX = 8 + 15 Reorder the terms: -15 + 15 + -5X + 6x + 2xX = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -5X + 6x + 2xX = 8 + 15 -5X + 6x + 2xX = 8 + 15 Combine like terms: 8 + 15 = 23 -5X + 6x + 2xX = 23 Add '-6x' to each side of the equation. -5X + 6x + -6x + 2xX = 23 + -6x Combine like terms: 6x + -6x = 0 -5X + 0 + 2xX = 23 + -6x -5X + 2xX = 23 + -6x Reorder the terms: -23 + -5X + 6x + 2xX = 23 + -6x + -23 + 6x Reorder the terms: -23 + -5X + 6x + 2xX = 23 + -23 + -6x + 6x Combine like terms: 23 + -23 = 0 -23 + -5X + 6x + 2xX = 0 + -6x + 6x -23 + -5X + 6x + 2xX = -6x + 6x Combine like terms: -6x + 6x = 0 -23 + -5X + 6x + 2xX = 0 The solution to this equation could not be determined.
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