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Simplifying 3(x + 8) + 5x = 2(4x + 12) Reorder the terms: 3(8 + x) + 5x = 2(4x + 12) (8 * 3 + x * 3) + 5x = 2(4x + 12) (24 + 3x) + 5x = 2(4x + 12) Combine like terms: 3x + 5x = 8x 24 + 8x = 2(4x + 12) Reorder the terms: 24 + 8x = 2(12 + 4x) 24 + 8x = (12 * 2 + 4x * 2) 24 + 8x = (24 + 8x) Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + 8x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + 8x 8x = 24 + -24 + 8x Combine like terms: 24 + -24 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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