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Simplifying -6(x + 1) = 2(1 + -3x) + -8 Reorder the terms: -6(1 + x) = 2(1 + -3x) + -8 (1 * -6 + x * -6) = 2(1 + -3x) + -8 (-6 + -6x) = 2(1 + -3x) + -8 -6 + -6x = (1 * 2 + -3x * 2) + -8 -6 + -6x = (2 + -6x) + -8 Reorder the terms: -6 + -6x = 2 + -8 + -6x Combine like terms: 2 + -8 = -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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