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Simplifying x(x + 1) + -1(x + -2)(x + -3) = 6 Reorder the terms: x(1 + x) + -1(x + -2)(x + -3) = 6 (1 * x + x * x) + -1(x + -2)(x + -3) = 6 (1x + x2) + -1(x + -2)(x + -3) = 6 Reorder the terms: 1x + x2 + -1(-2 + x)(x + -3) = 6 Reorder the terms: 1x + x2 + -1(-2 + x)(-3 + x) = 6 Multiply (-2 + x) * (-3 + x) 1x + x2 + -1(-2(-3 + x) + x(-3 + x)) = 6 1x + x2 + -1((-3 * -2 + x * -2) + x(-3 + x)) = 6 1x + x2 + -1((6 + -2x) + x(-3 + x)) = 6 1x + x2 + -1(6 + -2x + (-3 * x + x * x)) = 6 1x + x2 + -1(6 + -2x + (-3x + x2)) = 6 Combine like terms: -2x + -3x = -5x 1x + x2 + -1(6 + -5x + x2) = 6 1x + x2 + (6 * -1 + -5x * -1 + x2 * -1) = 6 1x + x2 + (-6 + 5x + -1x2) = 6 Reorder the terms: -6 + 1x + 5x + x2 + -1x2 = 6 Combine like terms: 1x + 5x = 6x -6 + 6x + x2 + -1x2 = 6 Combine like terms: x2 + -1x2 = 0 -6 + 6x + 0 = 6 -6 + 6x = 6 Solving -6 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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