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Simplifying 13(x + -6) + 8x = 7(3x + 4) + -8 Reorder the terms: 13(-6 + x) + 8x = 7(3x + 4) + -8 (-6 * 13 + x * 13) + 8x = 7(3x + 4) + -8 (-78 + 13x) + 8x = 7(3x + 4) + -8 Combine like terms: 13x + 8x = 21x -78 + 21x = 7(3x + 4) + -8 Reorder the terms: -78 + 21x = 7(4 + 3x) + -8 -78 + 21x = (4 * 7 + 3x * 7) + -8 -78 + 21x = (28 + 21x) + -8 Reorder the terms: -78 + 21x = 28 + -8 + 21x Combine like terms: 28 + -8 = 20 -78 + 21x = 20 + 21x Add '-21x' to each side of the equation. -78 + 21x + -21x = 20 + 21x + -21x Combine like terms: 21x + -21x = 0 -78 + 0 = 20 + 21x + -21x -78 = 20 + 21x + -21x Combine like terms: 21x + -21x = 0 -78 = 20 + 0 -78 = 20 Solving -78 = 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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