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Simplifying 5(3x + 4) + 8(2x + 3) = 31x + 44 Reorder the terms: 5(4 + 3x) + 8(2x + 3) = 31x + 44 (4 * 5 + 3x * 5) + 8(2x + 3) = 31x + 44 (20 + 15x) + 8(2x + 3) = 31x + 44 Reorder the terms: 20 + 15x + 8(3 + 2x) = 31x + 44 20 + 15x + (3 * 8 + 2x * 8) = 31x + 44 20 + 15x + (24 + 16x) = 31x + 44 Reorder the terms: 20 + 24 + 15x + 16x = 31x + 44 Combine like terms: 20 + 24 = 44 44 + 15x + 16x = 31x + 44 Combine like terms: 15x + 16x = 31x 44 + 31x = 31x + 44 Reorder the terms: 44 + 31x = 44 + 31x Add '-44' to each side of the equation. 44 + -44 + 31x = 44 + -44 + 31x Combine like terms: 44 + -44 = 0 0 + 31x = 44 + -44 + 31x 31x = 44 + -44 + 31x Combine like terms: 44 + -44 = 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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