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Simplifying (X + 6)(3x + -8) = 0 Reorder the terms: (6 + X)(3x + -8) = 0 Reorder the terms: (6 + X)(-8 + 3x) = 0 Multiply (6 + X) * (-8 + 3x) (6(-8 + 3x) + X(-8 + 3x)) = 0 ((-8 * 6 + 3x * 6) + X(-8 + 3x)) = 0 ((-48 + 18x) + X(-8 + 3x)) = 0 (-48 + 18x + (-8 * X + 3x * X)) = 0 (-48 + 18x + (-8X + 3xX)) = 0 Reorder the terms: (-48 + -8X + 18x + 3xX) = 0 (-48 + -8X + 18x + 3xX) = 0 Solving -48 + -8X + 18x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -8X + 18x + 48 + 3xX = 0 + 48 Reorder the terms: -48 + 48 + -8X + 18x + 3xX = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8X + 18x + 3xX = 0 + 48 -8X + 18x + 3xX = 0 + 48 Combine like terms: 0 + 48 = 48 -8X + 18x + 3xX = 48 Add '-18x' to each side of the equation. -8X + 18x + -18x + 3xX = 48 + -18x Combine like terms: 18x + -18x = 0 -8X + 0 + 3xX = 48 + -18x -8X + 3xX = 48 + -18x Reorder the terms: -48 + -8X + 18x + 3xX = 48 + -18x + -48 + 18x Reorder the terms: -48 + -8X + 18x + 3xX = 48 + -48 + -18x + 18x Combine like terms: 48 + -48 = 0 -48 + -8X + 18x + 3xX = 0 + -18x + 18x -48 + -8X + 18x + 3xX = -18x + 18x Combine like terms: -18x + 18x = 0 -48 + -8X + 18x + 3xX = 0 The solution to this equation could not be determined.
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