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Simplifying 7(5x + 7) + -7 = 35x + 42 Reorder the terms: 7(7 + 5x) + -7 = 35x + 42 (7 * 7 + 5x * 7) + -7 = 35x + 42 (49 + 35x) + -7 = 35x + 42 Reorder the terms: 49 + -7 + 35x = 35x + 42 Combine like terms: 49 + -7 = 42 42 + 35x = 35x + 42 Reorder the terms: 42 + 35x = 42 + 35x Add '-42' to each side of the equation. 42 + -42 + 35x = 42 + -42 + 35x Combine like terms: 42 + -42 = 0 0 + 35x = 42 + -42 + 35x 35x = 42 + -42 + 35x Combine like terms: 42 + -42 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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