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Simplifying (x + -3)(x + -6) = x2 Reorder the terms: (-3 + x)(x + -6) = x2 Reorder the terms: (-3 + x)(-6 + x) = x2 Multiply (-3 + x) * (-6 + x) (-3(-6 + x) + x(-6 + x)) = x2 ((-6 * -3 + x * -3) + x(-6 + x)) = x2 ((18 + -3x) + x(-6 + x)) = x2 (18 + -3x + (-6 * x + x * x)) = x2 (18 + -3x + (-6x + x2)) = x2 Combine like terms: -3x + -6x = -9x (18 + -9x + x2) = x2 Add '-1x2' to each side of the equation. 18 + -9x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 0 = x2 + -1x2 18 + -9x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x = 0 Solving 18 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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