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Simplifying x(6x + -8) = (6x + 7)(x + -6) Reorder the terms: x(-8 + 6x) = (6x + 7)(x + -6) (-8 * x + 6x * x) = (6x + 7)(x + -6) (-8x + 6x2) = (6x + 7)(x + -6) Reorder the terms: -8x + 6x2 = (7 + 6x)(x + -6) Reorder the terms: -8x + 6x2 = (7 + 6x)(-6 + x) Multiply (7 + 6x) * (-6 + x) -8x + 6x2 = (7(-6 + x) + 6x * (-6 + x)) -8x + 6x2 = ((-6 * 7 + x * 7) + 6x * (-6 + x)) -8x + 6x2 = ((-42 + 7x) + 6x * (-6 + x)) -8x + 6x2 = (-42 + 7x + (-6 * 6x + x * 6x)) -8x + 6x2 = (-42 + 7x + (-36x + 6x2)) Combine like terms: 7x + -36x = -29x -8x + 6x2 = (-42 + -29x + 6x2) Add '-6x2' to each side of the equation. -8x + 6x2 + -6x2 = -42 + -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x + 0 = -42 + -29x + 6x2 + -6x2 -8x = -42 + -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x = -42 + -29x + 0 -8x = -42 + -29x Solving -8x = -42 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -8x + 29x = -42 + -29x + 29x Combine like terms: -8x + 29x = 21x 21x = -42 + -29x + 29x Combine like terms: -29x + 29x = 0 21x = -42 + 0 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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