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Simplifying 2x(x + 3) = (2x + -1)(x + 4) Reorder the terms: 2x(3 + x) = (2x + -1)(x + 4) (3 * 2x + x * 2x) = (2x + -1)(x + 4) (6x + 2x2) = (2x + -1)(x + 4) Reorder the terms: 6x + 2x2 = (-1 + 2x)(x + 4) Reorder the terms: 6x + 2x2 = (-1 + 2x)(4 + x) Multiply (-1 + 2x) * (4 + x) 6x + 2x2 = (-1(4 + x) + 2x * (4 + x)) 6x + 2x2 = ((4 * -1 + x * -1) + 2x * (4 + x)) 6x + 2x2 = ((-4 + -1x) + 2x * (4 + x)) 6x + 2x2 = (-4 + -1x + (4 * 2x + x * 2x)) 6x + 2x2 = (-4 + -1x + (8x + 2x2)) Combine like terms: -1x + 8x = 7x 6x + 2x2 = (-4 + 7x + 2x2) Add '-2x2' to each side of the equation. 6x + 2x2 + -2x2 = -4 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6x + 0 = -4 + 7x + 2x2 + -2x2 6x = -4 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6x = -4 + 7x + 0 6x = -4 + 7x Solving 6x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = -4 + 7x + -7x Combine like terms: 6x + -7x = -1x -1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -1x = -4 + 0 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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