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Simplifying 3(x + -1) + x + 2 = 2(2x + 1) + 3 Reorder the terms: 3(-1 + x) + x + 2 = 2(2x + 1) + 3 (-1 * 3 + x * 3) + x + 2 = 2(2x + 1) + 3 (-3 + 3x) + x + 2 = 2(2x + 1) + 3 Reorder the terms: -3 + 2 + 3x + x = 2(2x + 1) + 3 Combine like terms: -3 + 2 = -1 -1 + 3x + x = 2(2x + 1) + 3 Combine like terms: 3x + x = 4x -1 + 4x = 2(2x + 1) + 3 Reorder the terms: -1 + 4x = 2(1 + 2x) + 3 -1 + 4x = (1 * 2 + 2x * 2) + 3 -1 + 4x = (2 + 4x) + 3 Reorder the terms: -1 + 4x = 2 + 3 + 4x Combine like terms: 2 + 3 = 5 -1 + 4x = 5 + 4x Add '-4x' to each side of the equation. -1 + 4x + -4x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 0 = 5 + 4x + -4x -1 = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 = 5 + 0 -1 = 5 Solving -1 = 5 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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