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Simplifying (5x + -1)(3x + 7) = (3x + 4)(5x + -15) Reorder the terms: (-1 + 5x)(3x + 7) = (3x + 4)(5x + -15) Reorder the terms: (-1 + 5x)(7 + 3x) = (3x + 4)(5x + -15) Multiply (-1 + 5x) * (7 + 3x) (-1(7 + 3x) + 5x * (7 + 3x)) = (3x + 4)(5x + -15) ((7 * -1 + 3x * -1) + 5x * (7 + 3x)) = (3x + 4)(5x + -15) ((-7 + -3x) + 5x * (7 + 3x)) = (3x + 4)(5x + -15) (-7 + -3x + (7 * 5x + 3x * 5x)) = (3x + 4)(5x + -15) (-7 + -3x + (35x + 15x2)) = (3x + 4)(5x + -15) Combine like terms: -3x + 35x = 32x (-7 + 32x + 15x2) = (3x + 4)(5x + -15) Reorder the terms: -7 + 32x + 15x2 = (4 + 3x)(5x + -15) Reorder the terms: -7 + 32x + 15x2 = (4 + 3x)(-15 + 5x) Multiply (4 + 3x) * (-15 + 5x) -7 + 32x + 15x2 = (4(-15 + 5x) + 3x * (-15 + 5x)) -7 + 32x + 15x2 = ((-15 * 4 + 5x * 4) + 3x * (-15 + 5x)) -7 + 32x + 15x2 = ((-60 + 20x) + 3x * (-15 + 5x)) -7 + 32x + 15x2 = (-60 + 20x + (-15 * 3x + 5x * 3x)) -7 + 32x + 15x2 = (-60 + 20x + (-45x + 15x2)) Combine like terms: 20x + -45x = -25x -7 + 32x + 15x2 = (-60 + -25x + 15x2) Add '-15x2' to each side of the equation. -7 + 32x + 15x2 + -15x2 = -60 + -25x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -7 + 32x + 0 = -60 + -25x + 15x2 + -15x2 -7 + 32x = -60 + -25x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -7 + 32x = -60 + -25x + 0 -7 + 32x = -60 + -25x Solving -7 + 32x = -60 + -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. -7 + 32x + 25x = -60 + -25x + 25x Combine like terms: 32x + 25x = 57x -7 + 57x = -60 + -25x + 25x Combine like terms: -25x + 25x = 0 -7 + 57x = -60 + 0 -7 + 57x = -60 Add '7' to each side of the equation. -7 + 7 + 57x = -60 + 7 Combine like terms: -7 + 7 = 0 0 + 57x = -60 + 7 57x = -60 + 7 Combine like terms: -60 + 7 = -53 57x = -53 Divide each side by '57'. x = -0.9298245614 Simplifying x = -0.9298245614
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