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Simplifying (X + 8)(3x + -5) = 0 Reorder the terms: (8 + X)(3x + -5) = 0 Reorder the terms: (8 + X)(-5 + 3x) = 0 Multiply (8 + X) * (-5 + 3x) (8(-5 + 3x) + X(-5 + 3x)) = 0 ((-5 * 8 + 3x * 8) + X(-5 + 3x)) = 0 ((-40 + 24x) + X(-5 + 3x)) = 0 (-40 + 24x + (-5 * X + 3x * X)) = 0 (-40 + 24x + (-5X + 3xX)) = 0 Reorder the terms: (-40 + -5X + 24x + 3xX) = 0 (-40 + -5X + 24x + 3xX) = 0 Solving -40 + -5X + 24x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -5X + 24x + 40 + 3xX = 0 + 40 Reorder the terms: -40 + 40 + -5X + 24x + 3xX = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5X + 24x + 3xX = 0 + 40 -5X + 24x + 3xX = 0 + 40 Combine like terms: 0 + 40 = 40 -5X + 24x + 3xX = 40 Add '-24x' to each side of the equation. -5X + 24x + -24x + 3xX = 40 + -24x Combine like terms: 24x + -24x = 0 -5X + 0 + 3xX = 40 + -24x -5X + 3xX = 40 + -24x Reorder the terms: -40 + -5X + 24x + 3xX = 40 + -24x + -40 + 24x Reorder the terms: -40 + -5X + 24x + 3xX = 40 + -40 + -24x + 24x Combine like terms: 40 + -40 = 0 -40 + -5X + 24x + 3xX = 0 + -24x + 24x -40 + -5X + 24x + 3xX = -24x + 24x Combine like terms: -24x + 24x = 0 -40 + -5X + 24x + 3xX = 0 The solution to this equation could not be determined.
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