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Simplifying 7(6x + 7) + -7 = 42x + 42 Reorder the terms: 7(7 + 6x) + -7 = 42x + 42 (7 * 7 + 6x * 7) + -7 = 42x + 42 (49 + 42x) + -7 = 42x + 42 Reorder the terms: 49 + -7 + 42x = 42x + 42 Combine like terms: 49 + -7 = 42 42 + 42x = 42x + 42 Reorder the terms: 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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