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Simplifying 9(2x + 1) = 3x + -8x Reorder the terms: 9(1 + 2x) = 3x + -8x (1 * 9 + 2x * 9) = 3x + -8x (9 + 18x) = 3x + -8x Combine like terms: 3x + -8x = -5x 9 + 18x = -5x Solving 9 + 18x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 18x + 5x = -5x + 5x Combine like terms: 18x + 5x = 23x 9 + 23x = -5x + 5x Combine like terms: -5x + 5x = 0 9 + 23x = 0 Add '-9' to each side of the equation. 9 + -9 + 23x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 23x = 0 + -9 23x = 0 + -9 Combine like terms: 0 + -9 = -9 23x = -9 Divide each side by '23'. x = -0.3913043478 Simplifying x = -0.3913043478
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