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Simplifying (X + 2)(x + -5) = x(x + -7) Reorder the terms: (2 + X)(x + -5) = x(x + -7) Reorder the terms: (2 + X)(-5 + x) = x(x + -7) Multiply (2 + X) * (-5 + x) (2(-5 + x) + X(-5 + x)) = x(x + -7) ((-5 * 2 + x * 2) + X(-5 + x)) = x(x + -7) ((-10 + 2x) + X(-5 + x)) = x(x + -7) (-10 + 2x + (-5 * X + x * X)) = x(x + -7) (-10 + 2x + (-5X + xX)) = x(x + -7) Reorder the terms: (-10 + -5X + 2x + xX) = x(x + -7) (-10 + -5X + 2x + xX) = x(x + -7) Reorder the terms: -10 + -5X + 2x + xX = x(-7 + x) -10 + -5X + 2x + xX = (-7 * x + x * x) -10 + -5X + 2x + xX = (-7x + x2) Solving -10 + -5X + 2x + xX = -7x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5X + 2x + 10 + xX = -7x + 10 + x2 Reorder the terms: -10 + 10 + -5X + 2x + xX = -7x + 10 + x2 Combine like terms: -10 + 10 = 0 0 + -5X + 2x + xX = -7x + 10 + x2 -5X + 2x + xX = -7x + 10 + x2 Reorder the terms: -5X + 2x + xX = 10 + -7x + x2 Add '-2x' to each side of the equation. -5X + 2x + -2x + xX = 10 + -7x + -2x + x2 Combine like terms: 2x + -2x = 0 -5X + 0 + xX = 10 + -7x + -2x + x2 -5X + xX = 10 + -7x + -2x + x2 Combine like terms: -7x + -2x = -9x -5X + xX = 10 + -9x + x2 Reorder the terms: -10 + -5X + 9x + xX + -1x2 = 10 + -9x + x2 + -10 + 9x + -1x2 Reorder the terms: -10 + -5X + 9x + xX + -1x2 = 10 + -10 + -9x + 9x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -10 + -5X + 9x + xX + -1x2 = 0 + -9x + 9x + x2 + -1x2 -10 + -5X + 9x + xX + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 -10 + -5X + 9x + xX + -1x2 = 0 + x2 + -1x2 -10 + -5X + 9x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -5X + 9x + xX + -1x2 = 0 The solution to this equation could not be determined.
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