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Simplifying (X + 4)(3x + -2) = 576 Reorder the terms: (4 + X)(3x + -2) = 576 Reorder the terms: (4 + X)(-2 + 3x) = 576 Multiply (4 + X) * (-2 + 3x) (4(-2 + 3x) + X(-2 + 3x)) = 576 ((-2 * 4 + 3x * 4) + X(-2 + 3x)) = 576 ((-8 + 12x) + X(-2 + 3x)) = 576 (-8 + 12x + (-2 * X + 3x * X)) = 576 (-8 + 12x + (-2X + 3xX)) = 576 Reorder the terms: (-8 + -2X + 12x + 3xX) = 576 (-8 + -2X + 12x + 3xX) = 576 Solving -8 + -2X + 12x + 3xX = 576 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2X + 12x + 8 + 3xX = 576 + 8 Reorder the terms: -8 + 8 + -2X + 12x + 3xX = 576 + 8 Combine like terms: -8 + 8 = 0 0 + -2X + 12x + 3xX = 576 + 8 -2X + 12x + 3xX = 576 + 8 Combine like terms: 576 + 8 = 584 -2X + 12x + 3xX = 584 Add '-12x' to each side of the equation. -2X + 12x + -12x + 3xX = 584 + -12x Combine like terms: 12x + -12x = 0 -2X + 0 + 3xX = 584 + -12x -2X + 3xX = 584 + -12x Reorder the terms: -584 + -2X + 12x + 3xX = 584 + -12x + -584 + 12x Reorder the terms: -584 + -2X + 12x + 3xX = 584 + -584 + -12x + 12x Combine like terms: 584 + -584 = 0 -584 + -2X + 12x + 3xX = 0 + -12x + 12x -584 + -2X + 12x + 3xX = -12x + 12x Combine like terms: -12x + 12x = 0 -584 + -2X + 12x + 3xX = 0 The solution to this equation could not be determined.
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