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Simplifying 2(3x + 5) + 4(3x + 4) + 5 = 18x + 31 Reorder the terms: 2(5 + 3x) + 4(3x + 4) + 5 = 18x + 31 (5 * 2 + 3x * 2) + 4(3x + 4) + 5 = 18x + 31 (10 + 6x) + 4(3x + 4) + 5 = 18x + 31 Reorder the terms: 10 + 6x + 4(4 + 3x) + 5 = 18x + 31 10 + 6x + (4 * 4 + 3x * 4) + 5 = 18x + 31 10 + 6x + (16 + 12x) + 5 = 18x + 31 Reorder the terms: 10 + 16 + 5 + 6x + 12x = 18x + 31 Combine like terms: 10 + 16 = 26 26 + 5 + 6x + 12x = 18x + 31 Combine like terms: 26 + 5 = 31 31 + 6x + 12x = 18x + 31 Combine like terms: 6x + 12x = 18x 31 + 18x = 18x + 31 Reorder the terms: 31 + 18x = 31 + 18x Add '-31' to each side of the equation. 31 + -31 + 18x = 31 + -31 + 18x Combine like terms: 31 + -31 = 0 0 + 18x = 31 + -31 + 18x 18x = 31 + -31 + 18x Combine like terms: 31 + -31 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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