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Simplifying 4(x + -1) = 2(3x + -1) + (1 + -2x) Reorder the terms: 4(-1 + x) = 2(3x + -1) + (1 + -2x) (-1 * 4 + x * 4) = 2(3x + -1) + (1 + -2x) (-4 + 4x) = 2(3x + -1) + (1 + -2x) Reorder the terms: -4 + 4x = 2(-1 + 3x) + (1 + -2x) -4 + 4x = (-1 * 2 + 3x * 2) + (1 + -2x) -4 + 4x = (-2 + 6x) + (1 + -2x) Remove parenthesis around (1 + -2x) -4 + 4x = -2 + 6x + 1 + -2x Reorder the terms: -4 + 4x = -2 + 1 + 6x + -2x Combine like terms: -2 + 1 = -1 -4 + 4x = -1 + 6x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = -1 + 4x Add '-4x' to each side of the equation. -4 + 4x + -4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 0 = -1 + 4x + -4x -4 = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 = -1 + 0 -4 = -1 Solving -4 = -1 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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