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