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Simplifying (4x + 2)(9x + -7) = (6x + -3)(6x + 5) Reorder the terms: (2 + 4x)(9x + -7) = (6x + -3)(6x + 5) Reorder the terms: (2 + 4x)(-7 + 9x) = (6x + -3)(6x + 5) Multiply (2 + 4x) * (-7 + 9x) (2(-7 + 9x) + 4x * (-7 + 9x)) = (6x + -3)(6x + 5) ((-7 * 2 + 9x * 2) + 4x * (-7 + 9x)) = (6x + -3)(6x + 5) ((-14 + 18x) + 4x * (-7 + 9x)) = (6x + -3)(6x + 5) (-14 + 18x + (-7 * 4x + 9x * 4x)) = (6x + -3)(6x + 5) (-14 + 18x + (-28x + 36x2)) = (6x + -3)(6x + 5) Combine like terms: 18x + -28x = -10x (-14 + -10x + 36x2) = (6x + -3)(6x + 5) Reorder the terms: -14 + -10x + 36x2 = (-3 + 6x)(6x + 5) Reorder the terms: -14 + -10x + 36x2 = (-3 + 6x)(5 + 6x) Multiply (-3 + 6x) * (5 + 6x) -14 + -10x + 36x2 = (-3(5 + 6x) + 6x * (5 + 6x)) -14 + -10x + 36x2 = ((5 * -3 + 6x * -3) + 6x * (5 + 6x)) -14 + -10x + 36x2 = ((-15 + -18x) + 6x * (5 + 6x)) -14 + -10x + 36x2 = (-15 + -18x + (5 * 6x + 6x * 6x)) -14 + -10x + 36x2 = (-15 + -18x + (30x + 36x2)) Combine like terms: -18x + 30x = 12x -14 + -10x + 36x2 = (-15 + 12x + 36x2) Add '-36x2' to each side of the equation. -14 + -10x + 36x2 + -36x2 = -15 + 12x + 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -14 + -10x + 0 = -15 + 12x + 36x2 + -36x2 -14 + -10x = -15 + 12x + 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -14 + -10x = -15 + 12x + 0 -14 + -10x = -15 + 12x Solving -14 + -10x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + -10x + -12x = -15 + 12x + -12x Combine like terms: -10x + -12x = -22x -14 + -22x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -22x = -15 + 0 -14 + -22x = -15 Add '14' to each side of the equation. -14 + 14 + -22x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -22x = -15 + 14 -22x = -15 + 14 Combine like terms: -15 + 14 = -1 -22x = -1 Divide each side by '-22'. x = 0.04545454545 Simplifying x = 0.04545454545
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