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Simplifying 2(x + 2) + 3x = 5(x + 1) + 1 Reorder the terms: 2(2 + x) + 3x = 5(x + 1) + 1 (2 * 2 + x * 2) + 3x = 5(x + 1) + 1 (4 + 2x) + 3x = 5(x + 1) + 1 Combine like terms: 2x + 3x = 5x 4 + 5x = 5(x + 1) + 1 Reorder the terms: 4 + 5x = 5(1 + x) + 1 4 + 5x = (1 * 5 + x * 5) + 1 4 + 5x = (5 + 5x) + 1 Reorder the terms: 4 + 5x = 5 + 1 + 5x Combine like terms: 5 + 1 = 6 4 + 5x = 6 + 5x Add '-5x' to each side of the equation. 4 + 5x + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 0 = 6 + 5x + -5x 4 = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 = 6 + 0 4 = 6 Solving 4 = 6 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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