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Simplifying 5(x + 3) + 1 = 2x + 3(5 + x) Reorder the terms: 5(3 + x) + 1 = 2x + 3(5 + x) (3 * 5 + x * 5) + 1 = 2x + 3(5 + x) (15 + 5x) + 1 = 2x + 3(5 + x) Reorder the terms: 15 + 1 + 5x = 2x + 3(5 + x) Combine like terms: 15 + 1 = 16 16 + 5x = 2x + 3(5 + x) 16 + 5x = 2x + (5 * 3 + x * 3) 16 + 5x = 2x + (15 + 3x) Reorder the terms: 16 + 5x = 15 + 2x + 3x Combine like terms: 2x + 3x = 5x 16 + 5x = 15 + 5x Add '-5x' to each side of the equation. 16 + 5x + -5x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 0 = 15 + 5x + -5x 16 = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 16 = 15 + 0 16 = 15 Solving 16 = 15 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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