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Simplifying -6x + -2 = 8 + -2(3x + 5) Reorder the terms: -2 + -6x = 8 + -2(3x + 5) Reorder the terms: -2 + -6x = 8 + -2(5 + 3x) -2 + -6x = 8 + (5 * -2 + 3x * -2) -2 + -6x = 8 + (-10 + -6x) Combine like terms: 8 + -10 = -2 -2 + -6x = -2 + -6x Add '2' to each side of the equation. -2 + 2 + -6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 0 + -6x = -2 + 2 + -6x -6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 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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