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Simplifying (X + 1)(2x + -7) = 18 Reorder the terms: (1 + X)(2x + -7) = 18 Reorder the terms: (1 + X)(-7 + 2x) = 18 Multiply (1 + X) * (-7 + 2x) (1(-7 + 2x) + X(-7 + 2x)) = 18 ((-7 * 1 + 2x * 1) + X(-7 + 2x)) = 18 ((-7 + 2x) + X(-7 + 2x)) = 18 (-7 + 2x + (-7 * X + 2x * X)) = 18 (-7 + 2x + (-7X + 2xX)) = 18 Reorder the terms: (-7 + -7X + 2x + 2xX) = 18 (-7 + -7X + 2x + 2xX) = 18 Solving -7 + -7X + 2x + 2xX = 18 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -7X + 2x + 7 + 2xX = 18 + 7 Reorder the terms: -7 + 7 + -7X + 2x + 2xX = 18 + 7 Combine like terms: -7 + 7 = 0 0 + -7X + 2x + 2xX = 18 + 7 -7X + 2x + 2xX = 18 + 7 Combine like terms: 18 + 7 = 25 -7X + 2x + 2xX = 25 Add '-2x' to each side of the equation. -7X + 2x + -2x + 2xX = 25 + -2x Combine like terms: 2x + -2x = 0 -7X + 0 + 2xX = 25 + -2x -7X + 2xX = 25 + -2x Reorder the terms: -25 + -7X + 2x + 2xX = 25 + -2x + -25 + 2x Reorder the terms: -25 + -7X + 2x + 2xX = 25 + -25 + -2x + 2x Combine like terms: 25 + -25 = 0 -25 + -7X + 2x + 2xX = 0 + -2x + 2x -25 + -7X + 2x + 2xX = -2x + 2x Combine like terms: -2x + 2x = 0 -25 + -7X + 2x + 2xX = 0 The solution to this equation could not be determined.
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