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Simplifying (x + 9)(x + -3) = x2 + 2x + 1 Reorder the terms: (9 + x)(x + -3) = x2 + 2x + 1 Reorder the terms: (9 + x)(-3 + x) = x2 + 2x + 1 Multiply (9 + x) * (-3 + x) (9(-3 + x) + x(-3 + x)) = x2 + 2x + 1 ((-3 * 9 + x * 9) + x(-3 + x)) = x2 + 2x + 1 ((-27 + 9x) + x(-3 + x)) = x2 + 2x + 1 (-27 + 9x + (-3 * x + x * x)) = x2 + 2x + 1 (-27 + 9x + (-3x + x2)) = x2 + 2x + 1 Combine like terms: 9x + -3x = 6x (-27 + 6x + x2) = x2 + 2x + 1 Reorder the terms: -27 + 6x + x2 = 1 + 2x + x2 Add '-1x2' to each side of the equation. -27 + 6x + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -27 + 6x + 0 = 1 + 2x + x2 + -1x2 -27 + 6x = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -27 + 6x = 1 + 2x + 0 -27 + 6x = 1 + 2x Solving -27 + 6x = 1 + 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. -27 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -27 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 4x = 1 + 0 -27 + 4x = 1 Add '27' to each side of the equation. -27 + 27 + 4x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 1 + 27 4x = 1 + 27 Combine like terms: 1 + 27 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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