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Simplifying (2x + 1) * 6 = (4x + 5) * 3 Reorder the terms: (1 + 2x) * 6 = (4x + 5) * 3 Reorder the terms for easier multiplication: 6(1 + 2x) = (4x + 5) * 3 (1 * 6 + 2x * 6) = (4x + 5) * 3 (6 + 12x) = (4x + 5) * 3 Reorder the terms: 6 + 12x = (5 + 4x) * 3 Reorder the terms for easier multiplication: 6 + 12x = 3(5 + 4x) 6 + 12x = (5 * 3 + 4x * 3) 6 + 12x = (15 + 12x) Add '-12x' to each side of the equation. 6 + 12x + -12x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 0 = 15 + 12x + -12x 6 = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 6 = 15 + 0 6 = 15 Solving 6 = 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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