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