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Simplifying 6(x + 1) + 2 = 3x + 3(2 + x) Reorder the terms: 6(1 + x) + 2 = 3x + 3(2 + x) (1 * 6 + x * 6) + 2 = 3x + 3(2 + x) (6 + 6x) + 2 = 3x + 3(2 + x) Reorder the terms: 6 + 2 + 6x = 3x + 3(2 + x) Combine like terms: 6 + 2 = 8 8 + 6x = 3x + 3(2 + x) 8 + 6x = 3x + (2 * 3 + x * 3) 8 + 6x = 3x + (6 + 3x) Reorder the terms: 8 + 6x = 6 + 3x + 3x Combine like terms: 3x + 3x = 6x 8 + 6x = 6 + 6x Add '-6x' to each side of the equation. 8 + 6x + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 0 = 6 + 6x + -6x 8 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 8 = 6 + 0 8 = 6 Solving 8 = 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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