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Simplifying (X + -1)(14x2 + -14x + 7) = 5x Reorder the terms: (-1 + X)(14x2 + -14x + 7) = 5x Reorder the terms: (-1 + X)(7 + -14x + 14x2) = 5x Multiply (-1 + X) * (7 + -14x + 14x2) (-1(7 + -14x + 14x2) + X(7 + -14x + 14x2)) = 5x ((7 * -1 + -14x * -1 + 14x2 * -1) + X(7 + -14x + 14x2)) = 5x ((-7 + 14x + -14x2) + X(7 + -14x + 14x2)) = 5x (-7 + 14x + -14x2 + (7 * X + -14x * X + 14x2 * X)) = 5x (-7 + 14x + -14x2 + (7X + -14xX + 14x2X)) = 5x Reorder the terms: (-7 + 7X + 14x + -14xX + -14x2 + 14x2X) = 5x (-7 + 7X + 14x + -14xX + -14x2 + 14x2X) = 5x Solving -7 + 7X + 14x + -14xX + -14x2 + 14x2X = 5x 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 + 14x + -14xX + -14x2 + 7 + 14x2X = 7 + 5x Reorder the terms: -7 + 7 + 7X + 14x + -14xX + -14x2 + 14x2X = 7 + 5x Combine like terms: -7 + 7 = 0 0 + 7X + 14x + -14xX + -14x2 + 14x2X = 7 + 5x 7X + 14x + -14xX + -14x2 + 14x2X = 7 + 5x Add '-14x' to each side of the equation. 7X + 14x + -14xX + -14x2 + -14x + 14x2X = 7 + 5x + -14x Reorder the terms: 7X + 14x + -14x + -14xX + -14x2 + 14x2X = 7 + 5x + -14x Combine like terms: 14x + -14x = 0 7X + 0 + -14xX + -14x2 + 14x2X = 7 + 5x + -14x 7X + -14xX + -14x2 + 14x2X = 7 + 5x + -14x Combine like terms: 5x + -14x = -9x 7X + -14xX + -14x2 + 14x2X = 7 + -9x Add '14x2' to each side of the equation. 7X + -14xX + -14x2 + 14x2 + 14x2X = 7 + -9x + 14x2 Combine like terms: -14x2 + 14x2 = 0 7X + -14xX + 0 + 14x2X = 7 + -9x + 14x2 7X + -14xX + 14x2X = 7 + -9x + 14x2 Reorder the terms: -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 7 + -9x + 14x2 + -7 + 9x + -14x2 Reorder the terms: -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 7 + -7 + -9x + 9x + 14x2 + -14x2 Combine like terms: 7 + -7 = 0 -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 0 + -9x + 9x + 14x2 + -14x2 -7 + 7X + 9x + -14xX + -14x2 + 14x2X = -9x + 9x + 14x2 + -14x2 Combine like terms: -9x + 9x = 0 -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 0 + 14x2 + -14x2 -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -7 + 7X + 9x + -14xX + -14x2 + 14x2X = 0 The solution to this equation could not be determined.
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