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Simplifying x(6x + -6) = (6x + 9)(x + -2) Reorder the terms: x(-6 + 6x) = (6x + 9)(x + -2) (-6 * x + 6x * x) = (6x + 9)(x + -2) (-6x + 6x2) = (6x + 9)(x + -2) Reorder the terms: -6x + 6x2 = (9 + 6x)(x + -2) Reorder the terms: -6x + 6x2 = (9 + 6x)(-2 + x) Multiply (9 + 6x) * (-2 + x) -6x + 6x2 = (9(-2 + x) + 6x * (-2 + x)) -6x + 6x2 = ((-2 * 9 + x * 9) + 6x * (-2 + x)) -6x + 6x2 = ((-18 + 9x) + 6x * (-2 + x)) -6x + 6x2 = (-18 + 9x + (-2 * 6x + x * 6x)) -6x + 6x2 = (-18 + 9x + (-12x + 6x2)) Combine like terms: 9x + -12x = -3x -6x + 6x2 = (-18 + -3x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -18 + -3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -18 + -3x + 6x2 + -6x2 -6x = -18 + -3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -18 + -3x + 0 -6x = -18 + -3x Solving -6x = -18 + -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 = -18 + -3x + 3x Combine like terms: -6x + 3x = -3x -3x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -3x = -18 + 0 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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