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Simplifying 2x(6x + 5) = (3x + -2)(4x + 1) Reorder the terms: 2x(5 + 6x) = (3x + -2)(4x + 1) (5 * 2x + 6x * 2x) = (3x + -2)(4x + 1) (10x + 12x2) = (3x + -2)(4x + 1) Reorder the terms: 10x + 12x2 = (-2 + 3x)(4x + 1) Reorder the terms: 10x + 12x2 = (-2 + 3x)(1 + 4x) Multiply (-2 + 3x) * (1 + 4x) 10x + 12x2 = (-2(1 + 4x) + 3x * (1 + 4x)) 10x + 12x2 = ((1 * -2 + 4x * -2) + 3x * (1 + 4x)) 10x + 12x2 = ((-2 + -8x) + 3x * (1 + 4x)) 10x + 12x2 = (-2 + -8x + (1 * 3x + 4x * 3x)) 10x + 12x2 = (-2 + -8x + (3x + 12x2)) Combine like terms: -8x + 3x = -5x 10x + 12x2 = (-2 + -5x + 12x2) Add '-12x2' to each side of the equation. 10x + 12x2 + -12x2 = -2 + -5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 10x + 0 = -2 + -5x + 12x2 + -12x2 10x = -2 + -5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 10x = -2 + -5x + 0 10x = -2 + -5x Solving 10x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10x + 5x = -2 + -5x + 5x Combine like terms: 10x + 5x = 15x 15x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 15x = -2 + 0 15x = -2 Divide each side by '15'. x = -0.1333333333 Simplifying x = -0.1333333333
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