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Simplifying (X + -4)(x + -6) = 42 Reorder the terms: (-4 + X)(x + -6) = 42 Reorder the terms: (-4 + X)(-6 + x) = 42 Multiply (-4 + X) * (-6 + x) (-4(-6 + x) + X(-6 + x)) = 42 ((-6 * -4 + x * -4) + X(-6 + x)) = 42 ((24 + -4x) + X(-6 + x)) = 42 (24 + -4x + (-6 * X + x * X)) = 42 (24 + -4x + (-6X + xX)) = 42 Reorder the terms: (24 + -6X + -4x + xX) = 42 (24 + -6X + -4x + xX) = 42 Solving 24 + -6X + -4x + xX = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6X + -4x + -24 + xX = 42 + -24 Reorder the terms: 24 + -24 + -6X + -4x + xX = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -6X + -4x + xX = 42 + -24 -6X + -4x + xX = 42 + -24 Combine like terms: 42 + -24 = 18 -6X + -4x + xX = 18 Add '4x' to each side of the equation. -6X + -4x + 4x + xX = 18 + 4x Combine like terms: -4x + 4x = 0 -6X + 0 + xX = 18 + 4x -6X + xX = 18 + 4x Reorder the terms: -18 + -6X + -4x + xX = 18 + 4x + -18 + -4x Reorder the terms: -18 + -6X + -4x + xX = 18 + -18 + 4x + -4x Combine like terms: 18 + -18 = 0 -18 + -6X + -4x + xX = 0 + 4x + -4x -18 + -6X + -4x + xX = 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -6X + -4x + xX = 0 The solution to this equation could not be determined.
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