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