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Simplifying X(3x + -7) = (3x + 9)(x + -5) Reorder the terms: X(-7 + 3x) = (3x + 9)(x + -5) (-7 * X + 3x * X) = (3x + 9)(x + -5) (-7X + 3xX) = (3x + 9)(x + -5) Reorder the terms: -7X + 3xX = (9 + 3x)(x + -5) Reorder the terms: -7X + 3xX = (9 + 3x)(-5 + x) Multiply (9 + 3x) * (-5 + x) -7X + 3xX = (9(-5 + x) + 3x * (-5 + x)) -7X + 3xX = ((-5 * 9 + x * 9) + 3x * (-5 + x)) -7X + 3xX = ((-45 + 9x) + 3x * (-5 + x)) -7X + 3xX = (-45 + 9x + (-5 * 3x + x * 3x)) -7X + 3xX = (-45 + 9x + (-15x + 3x2)) Combine like terms: 9x + -15x = -6x -7X + 3xX = (-45 + -6x + 3x2) Solving -7X + 3xX = -45 + -6x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 45 + -7X + 6x + 3xX + -3x2 = -45 + -6x + 3x2 + 45 + 6x + -3x2 Reorder the terms: 45 + -7X + 6x + 3xX + -3x2 = -45 + 45 + -6x + 6x + 3x2 + -3x2 Combine like terms: -45 + 45 = 0 45 + -7X + 6x + 3xX + -3x2 = 0 + -6x + 6x + 3x2 + -3x2 45 + -7X + 6x + 3xX + -3x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 45 + -7X + 6x + 3xX + -3x2 = 0 + 3x2 + -3x2 45 + -7X + 6x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 45 + -7X + 6x + 3xX + -3x2 = 0 The solution to this equation could not be determined.
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