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Simplifying 8x + 9 = 3(5 + 2x) Reorder the terms: 9 + 8x = 3(5 + 2x) 9 + 8x = (5 * 3 + 2x * 3) 9 + 8x = (15 + 6x) Solving 9 + 8x = 15 + 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. 9 + 8x + -6x = 15 + 6x + -6x Combine like terms: 8x + -6x = 2x 9 + 2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 2x = 15 + 0 9 + 2x = 15 Add '-9' to each side of the equation. 9 + -9 + 2x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 15 + -9 2x = 15 + -9 Combine like terms: 15 + -9 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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