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Simplifying (X + 5)(x + -3) + 7 = 0 Reorder the terms: (5 + X)(x + -3) + 7 = 0 Reorder the terms: (5 + X)(-3 + x) + 7 = 0 Multiply (5 + X) * (-3 + x) (5(-3 + x) + X(-3 + x)) + 7 = 0 ((-3 * 5 + x * 5) + X(-3 + x)) + 7 = 0 ((-15 + 5x) + X(-3 + x)) + 7 = 0 (-15 + 5x + (-3 * X + x * X)) + 7 = 0 (-15 + 5x + (-3X + xX)) + 7 = 0 Reorder the terms: (-15 + -3X + 5x + xX) + 7 = 0 (-15 + -3X + 5x + xX) + 7 = 0 Reorder the terms: -15 + 7 + -3X + 5x + xX = 0 Combine like terms: -15 + 7 = -8 -8 + -3X + 5x + xX = 0 Solving -8 + -3X + 5x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3X + 5x + 8 + xX = 0 + 8 Reorder the terms: -8 + 8 + -3X + 5x + xX = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3X + 5x + xX = 0 + 8 -3X + 5x + xX = 0 + 8 Combine like terms: 0 + 8 = 8 -3X + 5x + xX = 8 Add '-5x' to each side of the equation. -3X + 5x + -5x + xX = 8 + -5x Combine like terms: 5x + -5x = 0 -3X + 0 + xX = 8 + -5x -3X + xX = 8 + -5x Reorder the terms: -8 + -3X + 5x + xX = 8 + -5x + -8 + 5x Reorder the terms: -8 + -3X + 5x + xX = 8 + -8 + -5x + 5x Combine like terms: 8 + -8 = 0 -8 + -3X + 5x + xX = 0 + -5x + 5x -8 + -3X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -3X + 5x + xX = 0 The solution to this equation could not be determined.
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