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