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Simplifying 9x + 3(2x + 4) + 5 = 3x + 2 + 6(2x + 3) Reorder the terms: 9x + 3(4 + 2x) + 5 = 3x + 2 + 6(2x + 3) 9x + (4 * 3 + 2x * 3) + 5 = 3x + 2 + 6(2x + 3) 9x + (12 + 6x) + 5 = 3x + 2 + 6(2x + 3) Reorder the terms: 12 + 5 + 9x + 6x = 3x + 2 + 6(2x + 3) Combine like terms: 12 + 5 = 17 17 + 9x + 6x = 3x + 2 + 6(2x + 3) Combine like terms: 9x + 6x = 15x 17 + 15x = 3x + 2 + 6(2x + 3) Reorder the terms: 17 + 15x = 3x + 2 + 6(3 + 2x) 17 + 15x = 3x + 2 + (3 * 6 + 2x * 6) 17 + 15x = 3x + 2 + (18 + 12x) Reorder the terms: 17 + 15x = 2 + 18 + 3x + 12x Combine like terms: 2 + 18 = 20 17 + 15x = 20 + 3x + 12x Combine like terms: 3x + 12x = 15x 17 + 15x = 20 + 15x Add '-15x' to each side of the equation. 17 + 15x + -15x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + 0 = 20 + 15x + -15x 17 = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 17 = 20 + 0 17 = 20 Solving 17 = 20 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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