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Simplifying x(6x + -8) = (6x + 4)(x + -6) Reorder the terms: x(-8 + 6x) = (6x + 4)(x + -6) (-8 * x + 6x * x) = (6x + 4)(x + -6) (-8x + 6x2) = (6x + 4)(x + -6) Reorder the terms: -8x + 6x2 = (4 + 6x)(x + -6) Reorder the terms: -8x + 6x2 = (4 + 6x)(-6 + x) Multiply (4 + 6x) * (-6 + x) -8x + 6x2 = (4(-6 + x) + 6x * (-6 + x)) -8x + 6x2 = ((-6 * 4 + x * 4) + 6x * (-6 + x)) -8x + 6x2 = ((-24 + 4x) + 6x * (-6 + x)) -8x + 6x2 = (-24 + 4x + (-6 * 6x + x * 6x)) -8x + 6x2 = (-24 + 4x + (-36x + 6x2)) Combine like terms: 4x + -36x = -32x -8x + 6x2 = (-24 + -32x + 6x2) Add '-6x2' to each side of the equation. -8x + 6x2 + -6x2 = -24 + -32x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x + 0 = -24 + -32x + 6x2 + -6x2 -8x = -24 + -32x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x = -24 + -32x + 0 -8x = -24 + -32x Solving -8x = -24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -8x + 32x = -24 + -32x + 32x Combine like terms: -8x + 32x = 24x 24x = -24 + -32x + 32x Combine like terms: -32x + 32x = 0 24x = -24 + 0 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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