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Simplifying 4x(x + 2) = (2x + 3)(2x + -8) Reorder the terms: 4x(2 + x) = (2x + 3)(2x + -8) (2 * 4x + x * 4x) = (2x + 3)(2x + -8) (8x + 4x2) = (2x + 3)(2x + -8) Reorder the terms: 8x + 4x2 = (3 + 2x)(2x + -8) Reorder the terms: 8x + 4x2 = (3 + 2x)(-8 + 2x) Multiply (3 + 2x) * (-8 + 2x) 8x + 4x2 = (3(-8 + 2x) + 2x * (-8 + 2x)) 8x + 4x2 = ((-8 * 3 + 2x * 3) + 2x * (-8 + 2x)) 8x + 4x2 = ((-24 + 6x) + 2x * (-8 + 2x)) 8x + 4x2 = (-24 + 6x + (-8 * 2x + 2x * 2x)) 8x + 4x2 = (-24 + 6x + (-16x + 4x2)) Combine like terms: 6x + -16x = -10x 8x + 4x2 = (-24 + -10x + 4x2) Add '-4x2' to each side of the equation. 8x + 4x2 + -4x2 = -24 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8x + 0 = -24 + -10x + 4x2 + -4x2 8x = -24 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8x = -24 + -10x + 0 8x = -24 + -10x Solving 8x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8x + 10x = -24 + -10x + 10x Combine like terms: 8x + 10x = 18x 18x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 18x = -24 + 0 18x = -24 Divide each side by '18'. x = -1.333333333 Simplifying x = -1.333333333
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