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Simplifying 5x + -2 = 2(x + -1) + 3x + -4 Reorder the terms: -2 + 5x = 2(x + -1) + 3x + -4 Reorder the terms: -2 + 5x = 2(-1 + x) + 3x + -4 -2 + 5x = (-1 * 2 + x * 2) + 3x + -4 -2 + 5x = (-2 + 2x) + 3x + -4 Reorder the terms: -2 + 5x = -2 + -4 + 2x + 3x Combine like terms: -2 + -4 = -6 -2 + 5x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = -6 + 5x Add '-5x' to each side of the equation. -2 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 0 = -6 + 5x + -5x -2 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 = -6 + 0 -2 = -6 Solving -2 = -6 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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