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