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Simplifying (2x + 6)(3x + -5) = (6x + -1)(5 + x) Reorder the terms: (6 + 2x)(3x + -5) = (6x + -1)(5 + x) Reorder the terms: (6 + 2x)(-5 + 3x) = (6x + -1)(5 + x) Multiply (6 + 2x) * (-5 + 3x) (6(-5 + 3x) + 2x * (-5 + 3x)) = (6x + -1)(5 + x) ((-5 * 6 + 3x * 6) + 2x * (-5 + 3x)) = (6x + -1)(5 + x) ((-30 + 18x) + 2x * (-5 + 3x)) = (6x + -1)(5 + x) (-30 + 18x + (-5 * 2x + 3x * 2x)) = (6x + -1)(5 + x) (-30 + 18x + (-10x + 6x2)) = (6x + -1)(5 + x) Combine like terms: 18x + -10x = 8x (-30 + 8x + 6x2) = (6x + -1)(5 + x) Reorder the terms: -30 + 8x + 6x2 = (-1 + 6x)(5 + x) Multiply (-1 + 6x) * (5 + x) -30 + 8x + 6x2 = (-1(5 + x) + 6x * (5 + x)) -30 + 8x + 6x2 = ((5 * -1 + x * -1) + 6x * (5 + x)) -30 + 8x + 6x2 = ((-5 + -1x) + 6x * (5 + x)) -30 + 8x + 6x2 = (-5 + -1x + (5 * 6x + x * 6x)) -30 + 8x + 6x2 = (-5 + -1x + (30x + 6x2)) Combine like terms: -1x + 30x = 29x -30 + 8x + 6x2 = (-5 + 29x + 6x2) Add '-6x2' to each side of the equation. -30 + 8x + 6x2 + -6x2 = -5 + 29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -30 + 8x + 0 = -5 + 29x + 6x2 + -6x2 -30 + 8x = -5 + 29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -30 + 8x = -5 + 29x + 0 -30 + 8x = -5 + 29x Solving -30 + 8x = -5 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -30 + 8x + -29x = -5 + 29x + -29x Combine like terms: 8x + -29x = -21x -30 + -21x = -5 + 29x + -29x Combine like terms: 29x + -29x = 0 -30 + -21x = -5 + 0 -30 + -21x = -5 Add '30' to each side of the equation. -30 + 30 + -21x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + -21x = -5 + 30 -21x = -5 + 30 Combine like terms: -5 + 30 = 25 -21x = 25 Divide each side by '-21'. x = -1.19047619 Simplifying x = -1.19047619
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