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Simplifying (X + 3)(x + -5) = 12x + -10 Reorder the terms: (3 + X)(x + -5) = 12x + -10 Reorder the terms: (3 + X)(-5 + x) = 12x + -10 Multiply (3 + X) * (-5 + x) (3(-5 + x) + X(-5 + x)) = 12x + -10 ((-5 * 3 + x * 3) + X(-5 + x)) = 12x + -10 ((-15 + 3x) + X(-5 + x)) = 12x + -10 (-15 + 3x + (-5 * X + x * X)) = 12x + -10 (-15 + 3x + (-5X + xX)) = 12x + -10 Reorder the terms: (-15 + -5X + 3x + xX) = 12x + -10 (-15 + -5X + 3x + xX) = 12x + -10 Reorder the terms: -15 + -5X + 3x + xX = -10 + 12x Solving -15 + -5X + 3x + xX = -10 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5X + 3x + 15 + xX = -10 + 15 + 12x Reorder the terms: -15 + 15 + -5X + 3x + xX = -10 + 15 + 12x Combine like terms: -15 + 15 = 0 0 + -5X + 3x + xX = -10 + 15 + 12x -5X + 3x + xX = -10 + 15 + 12x Combine like terms: -10 + 15 = 5 -5X + 3x + xX = 5 + 12x Add '-3x' to each side of the equation. -5X + 3x + -3x + xX = 5 + 12x + -3x Combine like terms: 3x + -3x = 0 -5X + 0 + xX = 5 + 12x + -3x -5X + xX = 5 + 12x + -3x Combine like terms: 12x + -3x = 9x -5X + xX = 5 + 9x Reorder the terms: -5 + -5X + -9x + xX = 5 + 9x + -5 + -9x Reorder the terms: -5 + -5X + -9x + xX = 5 + -5 + 9x + -9x Combine like terms: 5 + -5 = 0 -5 + -5X + -9x + xX = 0 + 9x + -9x -5 + -5X + -9x + xX = 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -5X + -9x + xX = 0 The solution to this equation could not be determined.
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