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Simplifying 31x + 41 = 4(6x + 8) + 7x + 9 Reorder the terms: 41 + 31x = 4(6x + 8) + 7x + 9 Reorder the terms: 41 + 31x = 4(8 + 6x) + 7x + 9 41 + 31x = (8 * 4 + 6x * 4) + 7x + 9 41 + 31x = (32 + 24x) + 7x + 9 Reorder the terms: 41 + 31x = 32 + 9 + 24x + 7x Combine like terms: 32 + 9 = 41 41 + 31x = 41 + 24x + 7x Combine like terms: 24x + 7x = 31x 41 + 31x = 41 + 31x Add '-41' to each side of the equation. 41 + -41 + 31x = 41 + -41 + 31x Combine like terms: 41 + -41 = 0 0 + 31x = 41 + -41 + 31x 31x = 41 + -41 + 31x Combine like terms: 41 + -41 = 0 31x = 0 + 31x 31x = 31x Add '-31x' to each side of the equation. 31x + -31x = 31x + -31x Combine like terms: 31x + -31x = 0 0 = 31x + -31x Combine like terms: 31x + -31x = 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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