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