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Simplifying (X + 7)(x + -4) = 32 Reorder the terms: (7 + X)(x + -4) = 32 Reorder the terms: (7 + X)(-4 + x) = 32 Multiply (7 + X) * (-4 + x) (7(-4 + x) + X(-4 + x)) = 32 ((-4 * 7 + x * 7) + X(-4 + x)) = 32 ((-28 + 7x) + X(-4 + x)) = 32 (-28 + 7x + (-4 * X + x * X)) = 32 (-28 + 7x + (-4X + xX)) = 32 Reorder the terms: (-28 + -4X + 7x + xX) = 32 (-28 + -4X + 7x + xX) = 32 Solving -28 + -4X + 7x + xX = 32 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -4X + 7x + 28 + xX = 32 + 28 Reorder the terms: -28 + 28 + -4X + 7x + xX = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -4X + 7x + xX = 32 + 28 -4X + 7x + xX = 32 + 28 Combine like terms: 32 + 28 = 60 -4X + 7x + xX = 60 Add '-7x' to each side of the equation. -4X + 7x + -7x + xX = 60 + -7x Combine like terms: 7x + -7x = 0 -4X + 0 + xX = 60 + -7x -4X + xX = 60 + -7x Reorder the terms: -60 + -4X + 7x + xX = 60 + -7x + -60 + 7x Reorder the terms: -60 + -4X + 7x + xX = 60 + -60 + -7x + 7x Combine like terms: 60 + -60 = 0 -60 + -4X + 7x + xX = 0 + -7x + 7x -60 + -4X + 7x + xX = -7x + 7x Combine like terms: -7x + 7x = 0 -60 + -4X + 7x + xX = 0 The solution to this equation could not be determined.
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