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