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Simplifying 3(2x + 1) + 5 = 2(3x + 5) Reorder the terms: 3(1 + 2x) + 5 = 2(3x + 5) (1 * 3 + 2x * 3) + 5 = 2(3x + 5) (3 + 6x) + 5 = 2(3x + 5) Reorder the terms: 3 + 5 + 6x = 2(3x + 5) Combine like terms: 3 + 5 = 8 8 + 6x = 2(3x + 5) Reorder the terms: 8 + 6x = 2(5 + 3x) 8 + 6x = (5 * 2 + 3x * 2) 8 + 6x = (10 + 6x) Add '-6x' to each side of the equation. 8 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 0 = 10 + 6x + -6x 8 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 8 = 10 + 0 8 = 10 Solving 8 = 10 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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