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