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Simplifying (2x + 5)(3x + 1) = (x + -4)(6x + -1) Reorder the terms: (5 + 2x)(3x + 1) = (x + -4)(6x + -1) Reorder the terms: (5 + 2x)(1 + 3x) = (x + -4)(6x + -1) Multiply (5 + 2x) * (1 + 3x) (5(1 + 3x) + 2x * (1 + 3x)) = (x + -4)(6x + -1) ((1 * 5 + 3x * 5) + 2x * (1 + 3x)) = (x + -4)(6x + -1) ((5 + 15x) + 2x * (1 + 3x)) = (x + -4)(6x + -1) (5 + 15x + (1 * 2x + 3x * 2x)) = (x + -4)(6x + -1) (5 + 15x + (2x + 6x2)) = (x + -4)(6x + -1) Combine like terms: 15x + 2x = 17x (5 + 17x + 6x2) = (x + -4)(6x + -1) Reorder the terms: 5 + 17x + 6x2 = (-4 + x)(6x + -1) Reorder the terms: 5 + 17x + 6x2 = (-4 + x)(-1 + 6x) Multiply (-4 + x) * (-1 + 6x) 5 + 17x + 6x2 = (-4(-1 + 6x) + x(-1 + 6x)) 5 + 17x + 6x2 = ((-1 * -4 + 6x * -4) + x(-1 + 6x)) 5 + 17x + 6x2 = ((4 + -24x) + x(-1 + 6x)) 5 + 17x + 6x2 = (4 + -24x + (-1 * x + 6x * x)) 5 + 17x + 6x2 = (4 + -24x + (-1x + 6x2)) Combine like terms: -24x + -1x = -25x 5 + 17x + 6x2 = (4 + -25x + 6x2) Add '-6x2' to each side of the equation. 5 + 17x + 6x2 + -6x2 = 4 + -25x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + 17x + 0 = 4 + -25x + 6x2 + -6x2 5 + 17x = 4 + -25x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + 17x = 4 + -25x + 0 5 + 17x = 4 + -25x Solving 5 + 17x = 4 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 5 + 17x + 25x = 4 + -25x + 25x Combine like terms: 17x + 25x = 42x 5 + 42x = 4 + -25x + 25x Combine like terms: -25x + 25x = 0 5 + 42x = 4 + 0 5 + 42x = 4 Add '-5' to each side of the equation. 5 + -5 + 42x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 42x = 4 + -5 42x = 4 + -5 Combine like terms: 4 + -5 = -1 42x = -1 Divide each side by '42'. x = -0.02380952381 Simplifying x = -0.02380952381
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