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Simplifying (6x + -7)(x + 8) = (2x + 9)(3x + -5) Reorder the terms: (-7 + 6x)(x + 8) = (2x + 9)(3x + -5) Reorder the terms: (-7 + 6x)(8 + x) = (2x + 9)(3x + -5) Multiply (-7 + 6x) * (8 + x) (-7(8 + x) + 6x * (8 + x)) = (2x + 9)(3x + -5) ((8 * -7 + x * -7) + 6x * (8 + x)) = (2x + 9)(3x + -5) ((-56 + -7x) + 6x * (8 + x)) = (2x + 9)(3x + -5) (-56 + -7x + (8 * 6x + x * 6x)) = (2x + 9)(3x + -5) (-56 + -7x + (48x + 6x2)) = (2x + 9)(3x + -5) Combine like terms: -7x + 48x = 41x (-56 + 41x + 6x2) = (2x + 9)(3x + -5) Reorder the terms: -56 + 41x + 6x2 = (9 + 2x)(3x + -5) Reorder the terms: -56 + 41x + 6x2 = (9 + 2x)(-5 + 3x) Multiply (9 + 2x) * (-5 + 3x) -56 + 41x + 6x2 = (9(-5 + 3x) + 2x * (-5 + 3x)) -56 + 41x + 6x2 = ((-5 * 9 + 3x * 9) + 2x * (-5 + 3x)) -56 + 41x + 6x2 = ((-45 + 27x) + 2x * (-5 + 3x)) -56 + 41x + 6x2 = (-45 + 27x + (-5 * 2x + 3x * 2x)) -56 + 41x + 6x2 = (-45 + 27x + (-10x + 6x2)) Combine like terms: 27x + -10x = 17x -56 + 41x + 6x2 = (-45 + 17x + 6x2) Add '-6x2' to each side of the equation. -56 + 41x + 6x2 + -6x2 = -45 + 17x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -56 + 41x + 0 = -45 + 17x + 6x2 + -6x2 -56 + 41x = -45 + 17x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -56 + 41x = -45 + 17x + 0 -56 + 41x = -45 + 17x Solving -56 + 41x = -45 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -56 + 41x + -17x = -45 + 17x + -17x Combine like terms: 41x + -17x = 24x -56 + 24x = -45 + 17x + -17x Combine like terms: 17x + -17x = 0 -56 + 24x = -45 + 0 -56 + 24x = -45 Add '56' to each side of the equation. -56 + 56 + 24x = -45 + 56 Combine like terms: -56 + 56 = 0 0 + 24x = -45 + 56 24x = -45 + 56 Combine like terms: -45 + 56 = 11 24x = 11 Divide each side by '24'. x = 0.4583333333 Simplifying x = 0.4583333333
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