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Simplifying 3x(x + -1) = (3x + -6)(x + 1) Reorder the terms: 3x(-1 + x) = (3x + -6)(x + 1) (-1 * 3x + x * 3x) = (3x + -6)(x + 1) (-3x + 3x2) = (3x + -6)(x + 1) Reorder the terms: -3x + 3x2 = (-6 + 3x)(x + 1) Reorder the terms: -3x + 3x2 = (-6 + 3x)(1 + x) Multiply (-6 + 3x) * (1 + x) -3x + 3x2 = (-6(1 + x) + 3x * (1 + x)) -3x + 3x2 = ((1 * -6 + x * -6) + 3x * (1 + x)) -3x + 3x2 = ((-6 + -6x) + 3x * (1 + x)) -3x + 3x2 = (-6 + -6x + (1 * 3x + x * 3x)) -3x + 3x2 = (-6 + -6x + (3x + 3x2)) Combine like terms: -6x + 3x = -3x -3x + 3x2 = (-6 + -3x + 3x2) Add '3x' to each side of the equation. -3x + 3x + 3x2 = -6 + -3x + 3x + 3x2 Combine like terms: -3x + 3x = 0 0 + 3x2 = -6 + -3x + 3x + 3x2 3x2 = -6 + -3x + 3x + 3x2 Combine like terms: -3x + 3x = 0 3x2 = -6 + 0 + 3x2 3x2 = -6 + 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = -6 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -6 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -6 + 0 0 = -6 Solving 0 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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