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Simplifying (x + -3)(x + 2) = x(x + -4) Reorder the terms: (-3 + x)(x + 2) = x(x + -4) Reorder the terms: (-3 + x)(2 + x) = x(x + -4) Multiply (-3 + x) * (2 + x) (-3(2 + x) + x(2 + x)) = x(x + -4) ((2 * -3 + x * -3) + x(2 + x)) = x(x + -4) ((-6 + -3x) + x(2 + x)) = x(x + -4) (-6 + -3x + (2 * x + x * x)) = x(x + -4) (-6 + -3x + (2x + x2)) = x(x + -4) Combine like terms: -3x + 2x = -1x (-6 + -1x + x2) = x(x + -4) Reorder the terms: -6 + -1x + x2 = x(-4 + x) -6 + -1x + x2 = (-4 * x + x * x) -6 + -1x + x2 = (-4x + x2) Add '-1x2' to each side of the equation. -6 + -1x + x2 + -1x2 = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x + 0 = -4x + x2 + -1x2 -6 + -1x = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x = -4x + 0 -6 + -1x = -4x Solving -6 + -1x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x -6 + 3x = -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 3x = 0 Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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