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Simplifying 2(3x + 8) + 9 = 1 + 3x Reorder the terms: 2(8 + 3x) + 9 = 1 + 3x (8 * 2 + 3x * 2) + 9 = 1 + 3x (16 + 6x) + 9 = 1 + 3x Reorder the terms: 16 + 9 + 6x = 1 + 3x Combine like terms: 16 + 9 = 25 25 + 6x = 1 + 3x Solving 25 + 6x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 6x + -3x = 1 + 3x + -3x Combine like terms: 6x + -3x = 3x 25 + 3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 3x = 1 + 0 25 + 3x = 1 Add '-25' to each side of the equation. 25 + -25 + 3x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 1 + -25 3x = 1 + -25 Combine like terms: 1 + -25 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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