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Simplifying 3(5x + 2) + 8 = 2(3x + 4) + 9 Reorder the terms: 3(2 + 5x) + 8 = 2(3x + 4) + 9 (2 * 3 + 5x * 3) + 8 = 2(3x + 4) + 9 (6 + 15x) + 8 = 2(3x + 4) + 9 Reorder the terms: 6 + 8 + 15x = 2(3x + 4) + 9 Combine like terms: 6 + 8 = 14 14 + 15x = 2(3x + 4) + 9 Reorder the terms: 14 + 15x = 2(4 + 3x) + 9 14 + 15x = (4 * 2 + 3x * 2) + 9 14 + 15x = (8 + 6x) + 9 Reorder the terms: 14 + 15x = 8 + 9 + 6x Combine like terms: 8 + 9 = 17 14 + 15x = 17 + 6x Solving 14 + 15x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 15x + -6x = 17 + 6x + -6x Combine like terms: 15x + -6x = 9x 14 + 9x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 9x = 17 + 0 14 + 9x = 17 Add '-14' to each side of the equation. 14 + -14 + 9x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 17 + -14 9x = 17 + -14 Combine like terms: 17 + -14 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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