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Simplifying 5(x + 1) + 2 = 3x + 2(1 + x) Reorder the terms: 5(1 + x) + 2 = 3x + 2(1 + x) (1 * 5 + x * 5) + 2 = 3x + 2(1 + x) (5 + 5x) + 2 = 3x + 2(1 + x) Reorder the terms: 5 + 2 + 5x = 3x + 2(1 + x) Combine like terms: 5 + 2 = 7 7 + 5x = 3x + 2(1 + x) 7 + 5x = 3x + (1 * 2 + x * 2) 7 + 5x = 3x + (2 + 2x) Reorder the terms: 7 + 5x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x 7 + 5x = 2 + 5x Add '-5x' to each side of the equation. 7 + 5x + -5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 0 = 2 + 5x + -5x 7 = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 = 2 + 0 7 = 2 Solving 7 = 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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