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Simplifying 31x + 29 = 4(6x + 9) + 7x + -7 Reorder the terms: 29 + 31x = 4(6x + 9) + 7x + -7 Reorder the terms: 29 + 31x = 4(9 + 6x) + 7x + -7 29 + 31x = (9 * 4 + 6x * 4) + 7x + -7 29 + 31x = (36 + 24x) + 7x + -7 Reorder the terms: 29 + 31x = 36 + -7 + 24x + 7x Combine like terms: 36 + -7 = 29 29 + 31x = 29 + 24x + 7x Combine like terms: 24x + 7x = 31x 29 + 31x = 29 + 31x Add '-29' to each side of the equation. 29 + -29 + 31x = 29 + -29 + 31x Combine like terms: 29 + -29 = 0 0 + 31x = 29 + -29 + 31x 31x = 29 + -29 + 31x Combine like terms: 29 + -29 = 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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