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Simplifying (X + 3)(x + -2) = 7 Reorder the terms: (3 + X)(x + -2) = 7 Reorder the terms: (3 + X)(-2 + x) = 7 Multiply (3 + X) * (-2 + x) (3(-2 + x) + X(-2 + x)) = 7 ((-2 * 3 + x * 3) + X(-2 + x)) = 7 ((-6 + 3x) + X(-2 + x)) = 7 (-6 + 3x + (-2 * X + x * X)) = 7 (-6 + 3x + (-2X + xX)) = 7 Reorder the terms: (-6 + -2X + 3x + xX) = 7 (-6 + -2X + 3x + xX) = 7 Solving -6 + -2X + 3x + xX = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2X + 3x + 6 + xX = 7 + 6 Reorder the terms: -6 + 6 + -2X + 3x + xX = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -2X + 3x + xX = 7 + 6 -2X + 3x + xX = 7 + 6 Combine like terms: 7 + 6 = 13 -2X + 3x + xX = 13 Add '-3x' to each side of the equation. -2X + 3x + -3x + xX = 13 + -3x Combine like terms: 3x + -3x = 0 -2X + 0 + xX = 13 + -3x -2X + xX = 13 + -3x Reorder the terms: -13 + -2X + 3x + xX = 13 + -3x + -13 + 3x Reorder the terms: -13 + -2X + 3x + xX = 13 + -13 + -3x + 3x Combine like terms: 13 + -13 = 0 -13 + -2X + 3x + xX = 0 + -3x + 3x -13 + -2X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -13 + -2X + 3x + xX = 0 The solution to this equation could not be determined.
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