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Simplifying 3x + 8 = 5x + 2(4 + -1x) Reorder the terms: 8 + 3x = 5x + 2(4 + -1x) 8 + 3x = 5x + (4 * 2 + -1x * 2) 8 + 3x = 5x + (8 + -2x) Reorder the terms: 8 + 3x = 8 + 5x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 8 + 3x Add '-8' to each side of the equation. 8 + -8 + 3x = 8 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 3x = 8 + -8 + 3x 3x = 8 + -8 + 3x Combine like terms: 8 + -8 = 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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