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Simplifying 3x + 8 + -5x = 16 + -13x + 11x + -8 Reorder the terms: 8 + 3x + -5x = 16 + -13x + 11x + -8 Combine like terms: 3x + -5x = -2x 8 + -2x = 16 + -13x + 11x + -8 Reorder the terms: 8 + -2x = 16 + -8 + -13x + 11x Combine like terms: 16 + -8 = 8 8 + -2x = 8 + -13x + 11x Combine like terms: -13x + 11x = -2x 8 + -2x = 8 + -2x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + -2x -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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