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Simplifying x(3x + -6) = (3x + 6)(x + -5) Reorder the terms: x(-6 + 3x) = (3x + 6)(x + -5) (-6 * x + 3x * x) = (3x + 6)(x + -5) (-6x + 3x2) = (3x + 6)(x + -5) Reorder the terms: -6x + 3x2 = (6 + 3x)(x + -5) Reorder the terms: -6x + 3x2 = (6 + 3x)(-5 + x) Multiply (6 + 3x) * (-5 + x) -6x + 3x2 = (6(-5 + x) + 3x * (-5 + x)) -6x + 3x2 = ((-5 * 6 + x * 6) + 3x * (-5 + x)) -6x + 3x2 = ((-30 + 6x) + 3x * (-5 + x)) -6x + 3x2 = (-30 + 6x + (-5 * 3x + x * 3x)) -6x + 3x2 = (-30 + 6x + (-15x + 3x2)) Combine like terms: 6x + -15x = -9x -6x + 3x2 = (-30 + -9x + 3x2) Add '-3x2' to each side of the equation. -6x + 3x2 + -3x2 = -30 + -9x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x + 0 = -30 + -9x + 3x2 + -3x2 -6x = -30 + -9x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x = -30 + -9x + 0 -6x = -30 + -9x Solving -6x = -30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6x + 9x = -30 + -9x + 9x Combine like terms: -6x + 9x = 3x 3x = -30 + -9x + 9x Combine like terms: -9x + 9x = 0 3x = -30 + 0 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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