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Simplifying (2x + -7)(3x + 1) = (6x + 5)(x + -4) Reorder the terms: (-7 + 2x)(3x + 1) = (6x + 5)(x + -4) Reorder the terms: (-7 + 2x)(1 + 3x) = (6x + 5)(x + -4) Multiply (-7 + 2x) * (1 + 3x) (-7(1 + 3x) + 2x * (1 + 3x)) = (6x + 5)(x + -4) ((1 * -7 + 3x * -7) + 2x * (1 + 3x)) = (6x + 5)(x + -4) ((-7 + -21x) + 2x * (1 + 3x)) = (6x + 5)(x + -4) (-7 + -21x + (1 * 2x + 3x * 2x)) = (6x + 5)(x + -4) (-7 + -21x + (2x + 6x2)) = (6x + 5)(x + -4) Combine like terms: -21x + 2x = -19x (-7 + -19x + 6x2) = (6x + 5)(x + -4) Reorder the terms: -7 + -19x + 6x2 = (5 + 6x)(x + -4) Reorder the terms: -7 + -19x + 6x2 = (5 + 6x)(-4 + x) Multiply (5 + 6x) * (-4 + x) -7 + -19x + 6x2 = (5(-4 + x) + 6x * (-4 + x)) -7 + -19x + 6x2 = ((-4 * 5 + x * 5) + 6x * (-4 + x)) -7 + -19x + 6x2 = ((-20 + 5x) + 6x * (-4 + x)) -7 + -19x + 6x2 = (-20 + 5x + (-4 * 6x + x * 6x)) -7 + -19x + 6x2 = (-20 + 5x + (-24x + 6x2)) Combine like terms: 5x + -24x = -19x -7 + -19x + 6x2 = (-20 + -19x + 6x2) Add '19x' to each side of the equation. -7 + -19x + 19x + 6x2 = -20 + -19x + 19x + 6x2 Combine like terms: -19x + 19x = 0 -7 + 0 + 6x2 = -20 + -19x + 19x + 6x2 -7 + 6x2 = -20 + -19x + 19x + 6x2 Combine like terms: -19x + 19x = 0 -7 + 6x2 = -20 + 0 + 6x2 -7 + 6x2 = -20 + 6x2 Add '-6x2' to each side of the equation. -7 + 6x2 + -6x2 = -20 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7 + 0 = -20 + 6x2 + -6x2 -7 = -20 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7 = -20 + 0 -7 = -20 Solving -7 = -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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