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Simplifying (x + 3)(x + -1) = x(x + -6) Reorder the terms: (3 + x)(x + -1) = x(x + -6) Reorder the terms: (3 + x)(-1 + x) = x(x + -6) Multiply (3 + x) * (-1 + x) (3(-1 + x) + x(-1 + x)) = x(x + -6) ((-1 * 3 + x * 3) + x(-1 + x)) = x(x + -6) ((-3 + 3x) + x(-1 + x)) = x(x + -6) (-3 + 3x + (-1 * x + x * x)) = x(x + -6) (-3 + 3x + (-1x + x2)) = x(x + -6) Combine like terms: 3x + -1x = 2x (-3 + 2x + x2) = x(x + -6) Reorder the terms: -3 + 2x + x2 = x(-6 + x) -3 + 2x + x2 = (-6 * x + x * x) -3 + 2x + x2 = (-6x + x2) Add '-1x2' to each side of the equation. -3 + 2x + x2 + -1x2 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x + 0 = -6x + x2 + -1x2 -3 + 2x = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x = -6x + 0 -3 + 2x = -6x Solving -3 + 2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = 0 Add '3' to each side of the equation. -3 + 3 + 8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 0 + 3 8x = 0 + 3 Combine like terms: 0 + 3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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