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