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Simplifying 41x + 61 = 6(6x + 9) + 5x + 7 Reorder the terms: 61 + 41x = 6(6x + 9) + 5x + 7 Reorder the terms: 61 + 41x = 6(9 + 6x) + 5x + 7 61 + 41x = (9 * 6 + 6x * 6) + 5x + 7 61 + 41x = (54 + 36x) + 5x + 7 Reorder the terms: 61 + 41x = 54 + 7 + 36x + 5x Combine like terms: 54 + 7 = 61 61 + 41x = 61 + 36x + 5x Combine like terms: 36x + 5x = 41x 61 + 41x = 61 + 41x Add '-61' to each side of the equation. 61 + -61 + 41x = 61 + -61 + 41x Combine like terms: 61 + -61 = 0 0 + 41x = 61 + -61 + 41x 41x = 61 + -61 + 41x Combine like terms: 61 + -61 = 0 41x = 0 + 41x 41x = 41x Add '-41x' to each side of the equation. 41x + -41x = 41x + -41x Combine like terms: 41x + -41x = 0 0 = 41x + -41x Combine like terms: 41x + -41x = 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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