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Simplifying x(3x + -8) = (3x + 5)(x + -6) Reorder the terms: x(-8 + 3x) = (3x + 5)(x + -6) (-8 * x + 3x * x) = (3x + 5)(x + -6) (-8x + 3x2) = (3x + 5)(x + -6) Reorder the terms: -8x + 3x2 = (5 + 3x)(x + -6) Reorder the terms: -8x + 3x2 = (5 + 3x)(-6 + x) Multiply (5 + 3x) * (-6 + x) -8x + 3x2 = (5(-6 + x) + 3x * (-6 + x)) -8x + 3x2 = ((-6 * 5 + x * 5) + 3x * (-6 + x)) -8x + 3x2 = ((-30 + 5x) + 3x * (-6 + x)) -8x + 3x2 = (-30 + 5x + (-6 * 3x + x * 3x)) -8x + 3x2 = (-30 + 5x + (-18x + 3x2)) Combine like terms: 5x + -18x = -13x -8x + 3x2 = (-30 + -13x + 3x2) Add '-3x2' to each side of the equation. -8x + 3x2 + -3x2 = -30 + -13x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8x + 0 = -30 + -13x + 3x2 + -3x2 -8x = -30 + -13x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8x = -30 + -13x + 0 -8x = -30 + -13x Solving -8x = -30 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -8x + 13x = -30 + -13x + 13x Combine like terms: -8x + 13x = 5x 5x = -30 + -13x + 13x Combine like terms: -13x + 13x = 0 5x = -30 + 0 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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