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Simplifying 3x + 15 = (X + 1)(X + -1) Reorder the terms: 15 + 3x = (X + 1)(X + -1) Reorder the terms: 15 + 3x = (1 + X)(X + -1) Reorder the terms: 15 + 3x = (1 + X)(-1 + X) Multiply (1 + X) * (-1 + X) 15 + 3x = (1(-1 + X) + X(-1 + X)) 15 + 3x = ((-1 * 1 + X * 1) + X(-1 + X)) 15 + 3x = ((-1 + 1X) + X(-1 + X)) 15 + 3x = (-1 + 1X + (-1 * X + X * X)) 15 + 3x = (-1 + 1X + (-1X + X2)) Combine like terms: 1X + -1X = 0 15 + 3x = (-1 + 0 + X2) 15 + 3x = (-1 + X2) Solving 15 + 3x = -1 + X2 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 + -15 + 3x = -1 + -15 + X2 Combine like terms: 15 + -15 = 0 0 + 3x = -1 + -15 + X2 3x = -1 + -15 + X2 Combine like terms: -1 + -15 = -16 3x = -16 + X2 Divide each side by '3'. x = -5.333333333 + 0.3333333333X2 Simplifying x = -5.333333333 + 0.3333333333X2
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