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Simplifying (4x + -3)(3x + 5) + 3x = (2x + 4)(6x + -5) Reorder the terms: (-3 + 4x)(3x + 5) + 3x = (2x + 4)(6x + -5) Reorder the terms: (-3 + 4x)(5 + 3x) + 3x = (2x + 4)(6x + -5) Multiply (-3 + 4x) * (5 + 3x) (-3(5 + 3x) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5) ((5 * -3 + 3x * -3) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5) ((-15 + -9x) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5) (-15 + -9x + (5 * 4x + 3x * 4x)) + 3x = (2x + 4)(6x + -5) (-15 + -9x + (20x + 12x2)) + 3x = (2x + 4)(6x + -5) Combine like terms: -9x + 20x = 11x (-15 + 11x + 12x2) + 3x = (2x + 4)(6x + -5) Reorder the terms: -15 + 11x + 3x + 12x2 = (2x + 4)(6x + -5) Combine like terms: 11x + 3x = 14x -15 + 14x + 12x2 = (2x + 4)(6x + -5) Reorder the terms: -15 + 14x + 12x2 = (4 + 2x)(6x + -5) Reorder the terms: -15 + 14x + 12x2 = (4 + 2x)(-5 + 6x) Multiply (4 + 2x) * (-5 + 6x) -15 + 14x + 12x2 = (4(-5 + 6x) + 2x * (-5 + 6x)) -15 + 14x + 12x2 = ((-5 * 4 + 6x * 4) + 2x * (-5 + 6x)) -15 + 14x + 12x2 = ((-20 + 24x) + 2x * (-5 + 6x)) -15 + 14x + 12x2 = (-20 + 24x + (-5 * 2x + 6x * 2x)) -15 + 14x + 12x2 = (-20 + 24x + (-10x + 12x2)) Combine like terms: 24x + -10x = 14x -15 + 14x + 12x2 = (-20 + 14x + 12x2) Add '-14x' to each side of the equation. -15 + 14x + -14x + 12x2 = -20 + 14x + -14x + 12x2 Combine like terms: 14x + -14x = 0 -15 + 0 + 12x2 = -20 + 14x + -14x + 12x2 -15 + 12x2 = -20 + 14x + -14x + 12x2 Combine like terms: 14x + -14x = 0 -15 + 12x2 = -20 + 0 + 12x2 -15 + 12x2 = -20 + 12x2 Add '-12x2' to each side of the equation. -15 + 12x2 + -12x2 = -20 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -15 + 0 = -20 + 12x2 + -12x2 -15 = -20 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -15 = -20 + 0 -15 = -20 Solving -15 = -20 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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