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