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Simplifying (2x + -1)(3x + 4) = 3x(2x + 3) Reorder the terms: (-1 + 2x)(3x + 4) = 3x(2x + 3) Reorder the terms: (-1 + 2x)(4 + 3x) = 3x(2x + 3) Multiply (-1 + 2x) * (4 + 3x) (-1(4 + 3x) + 2x * (4 + 3x)) = 3x(2x + 3) ((4 * -1 + 3x * -1) + 2x * (4 + 3x)) = 3x(2x + 3) ((-4 + -3x) + 2x * (4 + 3x)) = 3x(2x + 3) (-4 + -3x + (4 * 2x + 3x * 2x)) = 3x(2x + 3) (-4 + -3x + (8x + 6x2)) = 3x(2x + 3) Combine like terms: -3x + 8x = 5x (-4 + 5x + 6x2) = 3x(2x + 3) Reorder the terms: -4 + 5x + 6x2 = 3x(3 + 2x) -4 + 5x + 6x2 = (3 * 3x + 2x * 3x) -4 + 5x + 6x2 = (9x + 6x2) Add '-6x2' to each side of the equation. -4 + 5x + 6x2 + -6x2 = 9x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4 + 5x + 0 = 9x + 6x2 + -6x2 -4 + 5x = 9x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4 + 5x = 9x + 0 -4 + 5x = 9x Solving -4 + 5x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 5x + -9x = 9x + -9x Combine like terms: 5x + -9x = -4x -4 + -4x = 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -4x = 0 Add '4' to each side of the equation. -4 + 4 + -4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 0 + 4 -4x = 0 + 4 Combine like terms: 0 + 4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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