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Simplifying x(9x + -6) = (9x + 6)(x + -2) Reorder the terms: x(-6 + 9x) = (9x + 6)(x + -2) (-6 * x + 9x * x) = (9x + 6)(x + -2) (-6x + 9x2) = (9x + 6)(x + -2) Reorder the terms: -6x + 9x2 = (6 + 9x)(x + -2) Reorder the terms: -6x + 9x2 = (6 + 9x)(-2 + x) Multiply (6 + 9x) * (-2 + x) -6x + 9x2 = (6(-2 + x) + 9x * (-2 + x)) -6x + 9x2 = ((-2 * 6 + x * 6) + 9x * (-2 + x)) -6x + 9x2 = ((-12 + 6x) + 9x * (-2 + x)) -6x + 9x2 = (-12 + 6x + (-2 * 9x + x * 9x)) -6x + 9x2 = (-12 + 6x + (-18x + 9x2)) Combine like terms: 6x + -18x = -12x -6x + 9x2 = (-12 + -12x + 9x2) Add '-9x2' to each side of the equation. -6x + 9x2 + -9x2 = -12 + -12x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x + 0 = -12 + -12x + 9x2 + -9x2 -6x = -12 + -12x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x = -12 + -12x + 0 -6x = -12 + -12x Solving -6x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6x + 12x = -12 + -12x + 12x Combine like terms: -6x + 12x = 6x 6x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 6x = -12 + 0 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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