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