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Simplifying (X + 5)(x + -7) = (2x + 6)(x + -7) Reorder the terms: (5 + X)(x + -7) = (2x + 6)(x + -7) Reorder the terms: (5 + X)(-7 + x) = (2x + 6)(x + -7) Multiply (5 + X) * (-7 + x) (5(-7 + x) + X(-7 + x)) = (2x + 6)(x + -7) ((-7 * 5 + x * 5) + X(-7 + x)) = (2x + 6)(x + -7) ((-35 + 5x) + X(-7 + x)) = (2x + 6)(x + -7) (-35 + 5x + (-7 * X + x * X)) = (2x + 6)(x + -7) (-35 + 5x + (-7X + xX)) = (2x + 6)(x + -7) Reorder the terms: (-35 + -7X + 5x + xX) = (2x + 6)(x + -7) (-35 + -7X + 5x + xX) = (2x + 6)(x + -7) Reorder the terms: -35 + -7X + 5x + xX = (6 + 2x)(x + -7) Reorder the terms: -35 + -7X + 5x + xX = (6 + 2x)(-7 + x) Multiply (6 + 2x) * (-7 + x) -35 + -7X + 5x + xX = (6(-7 + x) + 2x * (-7 + x)) -35 + -7X + 5x + xX = ((-7 * 6 + x * 6) + 2x * (-7 + x)) -35 + -7X + 5x + xX = ((-42 + 6x) + 2x * (-7 + x)) -35 + -7X + 5x + xX = (-42 + 6x + (-7 * 2x + x * 2x)) -35 + -7X + 5x + xX = (-42 + 6x + (-14x + 2x2)) Combine like terms: 6x + -14x = -8x -35 + -7X + 5x + xX = (-42 + -8x + 2x2) Solving -35 + -7X + 5x + xX = -42 + -8x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -7X + 5x + 35 + xX = -42 + -8x + 35 + 2x2 Reorder the terms: -35 + 35 + -7X + 5x + xX = -42 + -8x + 35 + 2x2 Combine like terms: -35 + 35 = 0 0 + -7X + 5x + xX = -42 + -8x + 35 + 2x2 -7X + 5x + xX = -42 + -8x + 35 + 2x2 Reorder the terms: -7X + 5x + xX = -42 + 35 + -8x + 2x2 Combine like terms: -42 + 35 = -7 -7X + 5x + xX = -7 + -8x + 2x2 Add '-5x' to each side of the equation. -7X + 5x + -5x + xX = -7 + -8x + -5x + 2x2 Combine like terms: 5x + -5x = 0 -7X + 0 + xX = -7 + -8x + -5x + 2x2 -7X + xX = -7 + -8x + -5x + 2x2 Combine like terms: -8x + -5x = -13x -7X + xX = -7 + -13x + 2x2 Reorder the terms: 7 + -7X + 13x + xX + -2x2 = -7 + -13x + 2x2 + 7 + 13x + -2x2 Reorder the terms: 7 + -7X + 13x + xX + -2x2 = -7 + 7 + -13x + 13x + 2x2 + -2x2 Combine like terms: -7 + 7 = 0 7 + -7X + 13x + xX + -2x2 = 0 + -13x + 13x + 2x2 + -2x2 7 + -7X + 13x + xX + -2x2 = -13x + 13x + 2x2 + -2x2 Combine like terms: -13x + 13x = 0 7 + -7X + 13x + xX + -2x2 = 0 + 2x2 + -2x2 7 + -7X + 13x + xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7 + -7X + 13x + xX + -2x2 = 0 The solution to this equation could not be determined.
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