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Simplifying 6(7x + 9) + 7 = 42x + 61 Reorder the terms: 6(9 + 7x) + 7 = 42x + 61 (9 * 6 + 7x * 6) + 7 = 42x + 61 (54 + 42x) + 7 = 42x + 61 Reorder the terms: 54 + 7 + 42x = 42x + 61 Combine like terms: 54 + 7 = 61 61 + 42x = 42x + 61 Reorder the terms: 61 + 42x = 61 + 42x Add '-61' to each side of the equation. 61 + -61 + 42x = 61 + -61 + 42x Combine like terms: 61 + -61 = 0 0 + 42x = 61 + -61 + 42x 42x = 61 + -61 + 42x Combine like terms: 61 + -61 = 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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