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Simplifying x(x + -3) + 5 = (x + -1)(x + 1) Reorder the terms: x(-3 + x) + 5 = (x + -1)(x + 1) (-3 * x + x * x) + 5 = (x + -1)(x + 1) (-3x + x2) + 5 = (x + -1)(x + 1) Reorder the terms: 5 + -3x + x2 = (x + -1)(x + 1) Reorder the terms: 5 + -3x + x2 = (-1 + x)(x + 1) Reorder the terms: 5 + -3x + x2 = (-1 + x)(1 + x) Multiply (-1 + x) * (1 + x) 5 + -3x + x2 = (-1(1 + x) + x(1 + x)) 5 + -3x + x2 = ((1 * -1 + x * -1) + x(1 + x)) 5 + -3x + x2 = ((-1 + -1x) + x(1 + x)) 5 + -3x + x2 = (-1 + -1x + (1 * x + x * x)) 5 + -3x + x2 = (-1 + -1x + (1x + x2)) Combine like terms: -1x + 1x = 0 5 + -3x + x2 = (-1 + 0 + x2) 5 + -3x + x2 = (-1 + x2) Add '-1x2' to each side of the equation. 5 + -3x + x2 + -1x2 = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -3x + 0 = -1 + x2 + -1x2 5 + -3x = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -3x = -1 + 0 5 + -3x = -1 Solving 5 + -3x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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