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Simplifying (X + 5)(x + -7) = (2x + 1)(X + -7) Reorder the terms: (5 + X)(x + -7) = (2x + 1)(X + -7) Reorder the terms: (5 + X)(-7 + x) = (2x + 1)(X + -7) Multiply (5 + X) * (-7 + x) (5(-7 + x) + X(-7 + x)) = (2x + 1)(X + -7) ((-7 * 5 + x * 5) + X(-7 + x)) = (2x + 1)(X + -7) ((-35 + 5x) + X(-7 + x)) = (2x + 1)(X + -7) (-35 + 5x + (-7 * X + x * X)) = (2x + 1)(X + -7) (-35 + 5x + (-7X + xX)) = (2x + 1)(X + -7) Reorder the terms: (-35 + -7X + 5x + xX) = (2x + 1)(X + -7) (-35 + -7X + 5x + xX) = (2x + 1)(X + -7) Reorder the terms: -35 + -7X + 5x + xX = (1 + 2x)(X + -7) Reorder the terms: -35 + -7X + 5x + xX = (1 + 2x)(-7 + X) Multiply (1 + 2x) * (-7 + X) -35 + -7X + 5x + xX = (1(-7 + X) + 2x * (-7 + X)) -35 + -7X + 5x + xX = ((-7 * 1 + X * 1) + 2x * (-7 + X)) -35 + -7X + 5x + xX = ((-7 + 1X) + 2x * (-7 + X)) -35 + -7X + 5x + xX = (-7 + 1X + (-7 * 2x + X * 2x)) -35 + -7X + 5x + xX = (-7 + 1X + (-14x + 2xX)) -35 + -7X + 5x + xX = (-7 + 1X + -14x + 2xX) Solving -35 + -7X + 5x + xX = -7 + 1X + -14x + 2xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -35 + -7X + 5x + -1X + xX = -7 + 1X + -14x + -1X + 2xX Reorder the terms: -35 + -7X + -1X + 5x + xX = -7 + 1X + -14x + -1X + 2xX Combine like terms: -7X + -1X = -8X -35 + -8X + 5x + xX = -7 + 1X + -14x + -1X + 2xX Reorder the terms: -35 + -8X + 5x + xX = -7 + 1X + -1X + -14x + 2xX Combine like terms: 1X + -1X = 0 -35 + -8X + 5x + xX = -7 + 0 + -14x + 2xX -35 + -8X + 5x + xX = -7 + -14x + 2xX Add '-2xX' to each side of the equation. -35 + -8X + 5x + xX + -2xX = -7 + -14x + 2xX + -2xX Combine like terms: xX + -2xX = -1xX -35 + -8X + 5x + -1xX = -7 + -14x + 2xX + -2xX Combine like terms: 2xX + -2xX = 0 -35 + -8X + 5x + -1xX = -7 + -14x + 0 -35 + -8X + 5x + -1xX = -7 + -14x Add '35' to each side of the equation. -35 + -8X + 5x + 35 + -1xX = -7 + 35 + -14x Reorder the terms: -35 + 35 + -8X + 5x + -1xX = -7 + 35 + -14x Combine like terms: -35 + 35 = 0 0 + -8X + 5x + -1xX = -7 + 35 + -14x -8X + 5x + -1xX = -7 + 35 + -14x Combine like terms: -7 + 35 = 28 -8X + 5x + -1xX = 28 + -14x Add '-5x' to each side of the equation. -8X + 5x + -5x + -1xX = 28 + -14x + -5x Combine like terms: 5x + -5x = 0 -8X + 0 + -1xX = 28 + -14x + -5x -8X + -1xX = 28 + -14x + -5x Combine like terms: -14x + -5x = -19x -8X + -1xX = 28 + -19x Reorder the terms: -28 + -8X + 19x + -1xX = 28 + -19x + -28 + 19x Reorder the terms: -28 + -8X + 19x + -1xX = 28 + -28 + -19x + 19x Combine like terms: 28 + -28 = 0 -28 + -8X + 19x + -1xX = 0 + -19x + 19x -28 + -8X + 19x + -1xX = -19x + 19x Combine like terms: -19x + 19x = 0 -28 + -8X + 19x + -1xX = 0 The solution to this equation could not be determined.
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