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Simplifying (X + 3)(x + -4) = 78 Reorder the terms: (3 + X)(x + -4) = 78 Reorder the terms: (3 + X)(-4 + x) = 78 Multiply (3 + X) * (-4 + x) (3(-4 + x) + X(-4 + x)) = 78 ((-4 * 3 + x * 3) + X(-4 + x)) = 78 ((-12 + 3x) + X(-4 + x)) = 78 (-12 + 3x + (-4 * X + x * X)) = 78 (-12 + 3x + (-4X + xX)) = 78 Reorder the terms: (-12 + -4X + 3x + xX) = 78 (-12 + -4X + 3x + xX) = 78 Solving -12 + -4X + 3x + xX = 78 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -4X + 3x + 12 + xX = 78 + 12 Reorder the terms: -12 + 12 + -4X + 3x + xX = 78 + 12 Combine like terms: -12 + 12 = 0 0 + -4X + 3x + xX = 78 + 12 -4X + 3x + xX = 78 + 12 Combine like terms: 78 + 12 = 90 -4X + 3x + xX = 90 Add '-3x' to each side of the equation. -4X + 3x + -3x + xX = 90 + -3x Combine like terms: 3x + -3x = 0 -4X + 0 + xX = 90 + -3x -4X + xX = 90 + -3x Reorder the terms: -90 + -4X + 3x + xX = 90 + -3x + -90 + 3x Reorder the terms: -90 + -4X + 3x + xX = 90 + -90 + -3x + 3x Combine like terms: 90 + -90 = 0 -90 + -4X + 3x + xX = 0 + -3x + 3x -90 + -4X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -90 + -4X + 3x + xX = 0 The solution to this equation could not be determined.
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