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Simplifying 2(3x + 1) = 4x + 2(x + 3) Reorder the terms: 2(1 + 3x) = 4x + 2(x + 3) (1 * 2 + 3x * 2) = 4x + 2(x + 3) (2 + 6x) = 4x + 2(x + 3) Reorder the terms: 2 + 6x = 4x + 2(3 + x) 2 + 6x = 4x + (3 * 2 + x * 2) 2 + 6x = 4x + (6 + 2x) Reorder the terms: 2 + 6x = 6 + 4x + 2x Combine like terms: 4x + 2x = 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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