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