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