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Simplifying 8(3x + 1) = 4x + -9x Reorder the terms: 8(1 + 3x) = 4x + -9x (1 * 8 + 3x * 8) = 4x + -9x (8 + 24x) = 4x + -9x Combine like terms: 4x + -9x = -5x 8 + 24x = -5x Solving 8 + 24x = -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. 8 + 24x + 5x = -5x + 5x Combine like terms: 24x + 5x = 29x 8 + 29x = -5x + 5x Combine like terms: -5x + 5x = 0 8 + 29x = 0 Add '-8' to each side of the equation. 8 + -8 + 29x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 29x = 0 + -8 29x = 0 + -8 Combine like terms: 0 + -8 = -8 29x = -8 Divide each side by '29'. x = -0.275862069 Simplifying x = -0.275862069
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