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