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Simplifying (x + -4)(3x + -7) = (x + -2)(3x + 8) Reorder the terms: (-4 + x)(3x + -7) = (x + -2)(3x + 8) Reorder the terms: (-4 + x)(-7 + 3x) = (x + -2)(3x + 8) Multiply (-4 + x) * (-7 + 3x) (-4(-7 + 3x) + x(-7 + 3x)) = (x + -2)(3x + 8) ((-7 * -4 + 3x * -4) + x(-7 + 3x)) = (x + -2)(3x + 8) ((28 + -12x) + x(-7 + 3x)) = (x + -2)(3x + 8) (28 + -12x + (-7 * x + 3x * x)) = (x + -2)(3x + 8) (28 + -12x + (-7x + 3x2)) = (x + -2)(3x + 8) Combine like terms: -12x + -7x = -19x (28 + -19x + 3x2) = (x + -2)(3x + 8) Reorder the terms: 28 + -19x + 3x2 = (-2 + x)(3x + 8) Reorder the terms: 28 + -19x + 3x2 = (-2 + x)(8 + 3x) Multiply (-2 + x) * (8 + 3x) 28 + -19x + 3x2 = (-2(8 + 3x) + x(8 + 3x)) 28 + -19x + 3x2 = ((8 * -2 + 3x * -2) + x(8 + 3x)) 28 + -19x + 3x2 = ((-16 + -6x) + x(8 + 3x)) 28 + -19x + 3x2 = (-16 + -6x + (8 * x + 3x * x)) 28 + -19x + 3x2 = (-16 + -6x + (8x + 3x2)) Combine like terms: -6x + 8x = 2x 28 + -19x + 3x2 = (-16 + 2x + 3x2) Add '-3x2' to each side of the equation. 28 + -19x + 3x2 + -3x2 = -16 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 28 + -19x + 0 = -16 + 2x + 3x2 + -3x2 28 + -19x = -16 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 28 + -19x = -16 + 2x + 0 28 + -19x = -16 + 2x Solving 28 + -19x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + -19x + -2x = -16 + 2x + -2x Combine like terms: -19x + -2x = -21x 28 + -21x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -21x = -16 + 0 28 + -21x = -16 Add '-28' to each side of the equation. 28 + -28 + -21x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + -21x = -16 + -28 -21x = -16 + -28 Combine like terms: -16 + -28 = -44 -21x = -44 Divide each side by '-21'. x = 2.095238095 Simplifying x = 2.095238095
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