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Simplifying (X + 7)(x + -2) = (x + 1) * 2 Reorder the terms: (7 + X)(x + -2) = (x + 1) * 2 Reorder the terms: (7 + X)(-2 + x) = (x + 1) * 2 Multiply (7 + X) * (-2 + x) (7(-2 + x) + X(-2 + x)) = (x + 1) * 2 ((-2 * 7 + x * 7) + X(-2 + x)) = (x + 1) * 2 ((-14 + 7x) + X(-2 + x)) = (x + 1) * 2 (-14 + 7x + (-2 * X + x * X)) = (x + 1) * 2 (-14 + 7x + (-2X + xX)) = (x + 1) * 2 Reorder the terms: (-14 + -2X + 7x + xX) = (x + 1) * 2 (-14 + -2X + 7x + xX) = (x + 1) * 2 Reorder the terms: -14 + -2X + 7x + xX = (1 + x) * 2 Reorder the terms for easier multiplication: -14 + -2X + 7x + xX = 2(1 + x) -14 + -2X + 7x + xX = (1 * 2 + x * 2) -14 + -2X + 7x + xX = (2 + 2x) Solving -14 + -2X + 7x + xX = 2 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -2X + 7x + 14 + xX = 2 + 14 + 2x Reorder the terms: -14 + 14 + -2X + 7x + xX = 2 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + -2X + 7x + xX = 2 + 14 + 2x -2X + 7x + xX = 2 + 14 + 2x Combine like terms: 2 + 14 = 16 -2X + 7x + xX = 16 + 2x Add '-7x' to each side of the equation. -2X + 7x + -7x + xX = 16 + 2x + -7x Combine like terms: 7x + -7x = 0 -2X + 0 + xX = 16 + 2x + -7x -2X + xX = 16 + 2x + -7x Combine like terms: 2x + -7x = -5x -2X + xX = 16 + -5x Reorder the terms: -16 + -2X + 5x + xX = 16 + -5x + -16 + 5x Reorder the terms: -16 + -2X + 5x + xX = 16 + -16 + -5x + 5x Combine like terms: 16 + -16 = 0 -16 + -2X + 5x + xX = 0 + -5x + 5x -16 + -2X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -16 + -2X + 5x + xX = 0 The solution to this equation could not be determined.
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