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