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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 '-42' to each side of the equation. 42 + -42 + 42x = 42 + -42 + 42x Combine like terms: 42 + -42 = 0 0 + 42x = 42 + -42 + 42x 42x = 42 + -42 + 42x Combine like terms: 42 + -42 = 0 42x = 0 + 42x 42x = 42x Add '-42x' to each side of the equation. 42x + -42x = 42x + -42x Combine like terms: 42x + -42x = 0 0 = 42x + -42x Combine like terms: 42x + -42x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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