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