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Simplifying x(6x + -6) = (6x + 9)(x + -5) Reorder the terms: x(-6 + 6x) = (6x + 9)(x + -5) (-6 * x + 6x * x) = (6x + 9)(x + -5) (-6x + 6x2) = (6x + 9)(x + -5) Reorder the terms: -6x + 6x2 = (9 + 6x)(x + -5) Reorder the terms: -6x + 6x2 = (9 + 6x)(-5 + x) Multiply (9 + 6x) * (-5 + x) -6x + 6x2 = (9(-5 + x) + 6x * (-5 + x)) -6x + 6x2 = ((-5 * 9 + x * 9) + 6x * (-5 + x)) -6x + 6x2 = ((-45 + 9x) + 6x * (-5 + x)) -6x + 6x2 = (-45 + 9x + (-5 * 6x + x * 6x)) -6x + 6x2 = (-45 + 9x + (-30x + 6x2)) Combine like terms: 9x + -30x = -21x -6x + 6x2 = (-45 + -21x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -45 + -21x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -45 + -21x + 6x2 + -6x2 -6x = -45 + -21x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -45 + -21x + 0 -6x = -45 + -21x Solving -6x = -45 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -6x + 21x = -45 + -21x + 21x Combine like terms: -6x + 21x = 15x 15x = -45 + -21x + 21x Combine like terms: -21x + 21x = 0 15x = -45 + 0 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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