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