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