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Simplifying (X + 3)(x + -4) = 7 Reorder the terms: (3 + X)(x + -4) = 7 Reorder the terms: (3 + X)(-4 + x) = 7 Multiply (3 + X) * (-4 + x) (3(-4 + x) + X(-4 + x)) = 7 ((-4 * 3 + x * 3) + X(-4 + x)) = 7 ((-12 + 3x) + X(-4 + x)) = 7 (-12 + 3x + (-4 * X + x * X)) = 7 (-12 + 3x + (-4X + xX)) = 7 Reorder the terms: (-12 + -4X + 3x + xX) = 7 (-12 + -4X + 3x + xX) = 7 Solving -12 + -4X + 3x + xX = 7 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 = 7 + 12 Reorder the terms: -12 + 12 + -4X + 3x + xX = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -4X + 3x + xX = 7 + 12 -4X + 3x + xX = 7 + 12 Combine like terms: 7 + 12 = 19 -4X + 3x + xX = 19 Add '-3x' to each side of the equation. -4X + 3x + -3x + xX = 19 + -3x Combine like terms: 3x + -3x = 0 -4X + 0 + xX = 19 + -3x -4X + xX = 19 + -3x Reorder the terms: -19 + -4X + 3x + xX = 19 + -3x + -19 + 3x Reorder the terms: -19 + -4X + 3x + xX = 19 + -19 + -3x + 3x Combine like terms: 19 + -19 = 0 -19 + -4X + 3x + xX = 0 + -3x + 3x -19 + -4X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -19 + -4X + 3x + xX = 0 The solution to this equation could not be determined.
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