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Simplifying (3x + 2)(7x + 4) = 26x Reorder the terms: (2 + 3x)(7x + 4) = 26x Reorder the terms: (2 + 3x)(4 + 7x) = 26x Multiply (2 + 3x) * (4 + 7x) (2(4 + 7x) + 3x * (4 + 7x)) = 26x ((4 * 2 + 7x * 2) + 3x * (4 + 7x)) = 26x ((8 + 14x) + 3x * (4 + 7x)) = 26x (8 + 14x + (4 * 3x + 7x * 3x)) = 26x (8 + 14x + (12x + 21x2)) = 26x Combine like terms: 14x + 12x = 26x (8 + 26x + 21x2) = 26x Add '-26x' to each side of the equation. 8 + 26x + -26x + 21x2 = 26x + -26x Combine like terms: 26x + -26x = 0 8 + 0 + 21x2 = 26x + -26x 8 + 21x2 = 26x + -26x Combine like terms: 26x + -26x = 0 8 + 21x2 = 0 Solving 8 + 21x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 21x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21x2 = 0 + -8 21x2 = 0 + -8 Combine like terms: 0 + -8 = -8 21x2 = -8 Divide each side by '21'. x2 = -0.380952381 Simplifying x2 = -0.380952381 Reorder the terms: 0.380952381 + x2 = -0.380952381 + 0.380952381 Combine like terms: -0.380952381 + 0.380952381 = 0.000000000 0.380952381 + x2 = 0.000000000 The solution to this equation could not be determined.
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