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