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Simplifying 6x + 2 + -8x = 8 + -1(2x + 6) Reorder the terms: 2 + 6x + -8x = 8 + -1(2x + 6) Combine like terms: 6x + -8x = -2x 2 + -2x = 8 + -1(2x + 6) Reorder the terms: 2 + -2x = 8 + -1(6 + 2x) 2 + -2x = 8 + (6 * -1 + 2x * -1) 2 + -2x = 8 + (-6 + -2x) Combine like terms: 8 + -6 = 2 2 + -2x = 2 + -2x Add '-2' to each side of the equation. 2 + -2 + -2x = 2 + -2 + -2x Combine like terms: 2 + -2 = 0 0 + -2x = 2 + -2 + -2x -2x = 2 + -2 + -2x Combine like terms: 2 + -2 = 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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