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Simplifying 5(2x + 3) + 1 = 2(7 + 5x) Reorder the terms: 5(3 + 2x) + 1 = 2(7 + 5x) (3 * 5 + 2x * 5) + 1 = 2(7 + 5x) (15 + 10x) + 1 = 2(7 + 5x) Reorder the terms: 15 + 1 + 10x = 2(7 + 5x) Combine like terms: 15 + 1 = 16 16 + 10x = 2(7 + 5x) 16 + 10x = (7 * 2 + 5x * 2) 16 + 10x = (14 + 10x) Add '-10x' to each side of the equation. 16 + 10x + -10x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + 0 = 14 + 10x + -10x 16 = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 16 = 14 + 0 16 = 14 Solving 16 = 14 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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