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Simplifying x(3x + -1) + 8 = (3x + 1)(x + -5) Reorder the terms: x(-1 + 3x) + 8 = (3x + 1)(x + -5) (-1 * x + 3x * x) + 8 = (3x + 1)(x + -5) (-1x + 3x2) + 8 = (3x + 1)(x + -5) Reorder the terms: 8 + -1x + 3x2 = (3x + 1)(x + -5) Reorder the terms: 8 + -1x + 3x2 = (1 + 3x)(x + -5) Reorder the terms: 8 + -1x + 3x2 = (1 + 3x)(-5 + x) Multiply (1 + 3x) * (-5 + x) 8 + -1x + 3x2 = (1(-5 + x) + 3x * (-5 + x)) 8 + -1x + 3x2 = ((-5 * 1 + x * 1) + 3x * (-5 + x)) 8 + -1x + 3x2 = ((-5 + 1x) + 3x * (-5 + x)) 8 + -1x + 3x2 = (-5 + 1x + (-5 * 3x + x * 3x)) 8 + -1x + 3x2 = (-5 + 1x + (-15x + 3x2)) Combine like terms: 1x + -15x = -14x 8 + -1x + 3x2 = (-5 + -14x + 3x2) Add '-3x2' to each side of the equation. 8 + -1x + 3x2 + -3x2 = -5 + -14x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 8 + -1x + 0 = -5 + -14x + 3x2 + -3x2 8 + -1x = -5 + -14x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 8 + -1x = -5 + -14x + 0 8 + -1x = -5 + -14x Solving 8 + -1x = -5 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 8 + -1x + 14x = -5 + -14x + 14x Combine like terms: -1x + 14x = 13x 8 + 13x = -5 + -14x + 14x Combine like terms: -14x + 14x = 0 8 + 13x = -5 + 0 8 + 13x = -5 Add '-8' to each side of the equation. 8 + -8 + 13x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = -5 + -8 13x = -5 + -8 Combine like terms: -5 + -8 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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