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Simplifying (9x + 7)(2x + -3) = (6x + -5)(3x + 6) Reorder the terms: (7 + 9x)(2x + -3) = (6x + -5)(3x + 6) Reorder the terms: (7 + 9x)(-3 + 2x) = (6x + -5)(3x + 6) Multiply (7 + 9x) * (-3 + 2x) (7(-3 + 2x) + 9x * (-3 + 2x)) = (6x + -5)(3x + 6) ((-3 * 7 + 2x * 7) + 9x * (-3 + 2x)) = (6x + -5)(3x + 6) ((-21 + 14x) + 9x * (-3 + 2x)) = (6x + -5)(3x + 6) (-21 + 14x + (-3 * 9x + 2x * 9x)) = (6x + -5)(3x + 6) (-21 + 14x + (-27x + 18x2)) = (6x + -5)(3x + 6) Combine like terms: 14x + -27x = -13x (-21 + -13x + 18x2) = (6x + -5)(3x + 6) Reorder the terms: -21 + -13x + 18x2 = (-5 + 6x)(3x + 6) Reorder the terms: -21 + -13x + 18x2 = (-5 + 6x)(6 + 3x) Multiply (-5 + 6x) * (6 + 3x) -21 + -13x + 18x2 = (-5(6 + 3x) + 6x * (6 + 3x)) -21 + -13x + 18x2 = ((6 * -5 + 3x * -5) + 6x * (6 + 3x)) -21 + -13x + 18x2 = ((-30 + -15x) + 6x * (6 + 3x)) -21 + -13x + 18x2 = (-30 + -15x + (6 * 6x + 3x * 6x)) -21 + -13x + 18x2 = (-30 + -15x + (36x + 18x2)) Combine like terms: -15x + 36x = 21x -21 + -13x + 18x2 = (-30 + 21x + 18x2) Add '-18x2' to each side of the equation. -21 + -13x + 18x2 + -18x2 = -30 + 21x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -21 + -13x + 0 = -30 + 21x + 18x2 + -18x2 -21 + -13x = -30 + 21x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -21 + -13x = -30 + 21x + 0 -21 + -13x = -30 + 21x Solving -21 + -13x = -30 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -21 + -13x + -21x = -30 + 21x + -21x Combine like terms: -13x + -21x = -34x -21 + -34x = -30 + 21x + -21x Combine like terms: 21x + -21x = 0 -21 + -34x = -30 + 0 -21 + -34x = -30 Add '21' to each side of the equation. -21 + 21 + -34x = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -34x = -30 + 21 -34x = -30 + 21 Combine like terms: -30 + 21 = -9 -34x = -9 Divide each side by '-34'. x = 0.2647058824 Simplifying x = 0.2647058824
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