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Simplifying 6(x + 1) + -8 = 3x + 3(-2 + x) Reorder the terms: 6(1 + x) + -8 = 3x + 3(-2 + x) (1 * 6 + x * 6) + -8 = 3x + 3(-2 + x) (6 + 6x) + -8 = 3x + 3(-2 + x) Reorder the terms: 6 + -8 + 6x = 3x + 3(-2 + x) Combine like terms: 6 + -8 = -2 -2 + 6x = 3x + 3(-2 + x) -2 + 6x = 3x + (-2 * 3 + x * 3) -2 + 6x = 3x + (-6 + 3x) Reorder the terms: -2 + 6x = -6 + 3x + 3x Combine like terms: 3x + 3x = 6x -2 + 6x = -6 + 6x Add '-6x' to each side of the equation. -2 + 6x + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 = -6 + 6x + -6x -2 = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 = -6 + 0 -2 = -6 Solving -2 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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