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