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Simplifying x(6x + -6) = (6x + 9)(x + -4) Reorder the terms: x(-6 + 6x) = (6x + 9)(x + -4) (-6 * x + 6x * x) = (6x + 9)(x + -4) (-6x + 6x2) = (6x + 9)(x + -4) Reorder the terms: -6x + 6x2 = (9 + 6x)(x + -4) Reorder the terms: -6x + 6x2 = (9 + 6x)(-4 + x) Multiply (9 + 6x) * (-4 + x) -6x + 6x2 = (9(-4 + x) + 6x * (-4 + x)) -6x + 6x2 = ((-4 * 9 + x * 9) + 6x * (-4 + x)) -6x + 6x2 = ((-36 + 9x) + 6x * (-4 + x)) -6x + 6x2 = (-36 + 9x + (-4 * 6x + x * 6x)) -6x + 6x2 = (-36 + 9x + (-24x + 6x2)) Combine like terms: 9x + -24x = -15x -6x + 6x2 = (-36 + -15x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -36 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -36 + -15x + 6x2 + -6x2 -6x = -36 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -36 + -15x + 0 -6x = -36 + -15x Solving -6x = -36 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -6x + 15x = -36 + -15x + 15x Combine like terms: -6x + 15x = 9x 9x = -36 + -15x + 15x Combine like terms: -15x + 15x = 0 9x = -36 + 0 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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