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Simplifying 6(7x + 17) = 7(6x + 6) Reorder the terms: 6(17 + 7x) = 7(6x + 6) (17 * 6 + 7x * 6) = 7(6x + 6) (102 + 42x) = 7(6x + 6) Reorder the terms: 102 + 42x = 7(6 + 6x) 102 + 42x = (6 * 7 + 6x * 7) 102 + 42x = (42 + 42x) Add '-42x' to each side of the equation. 102 + 42x + -42x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 102 + 0 = 42 + 42x + -42x 102 = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 102 = 42 + 0 102 = 42 Solving 102 = 42 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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