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Simplifying 3(3x + 8) = -2 + -4x Reorder the terms: 3(8 + 3x) = -2 + -4x (8 * 3 + 3x * 3) = -2 + -4x (24 + 9x) = -2 + -4x Solving 24 + 9x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 9x + 4x = -2 + -4x + 4x Combine like terms: 9x + 4x = 13x 24 + 13x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 13x = -2 + 0 24 + 13x = -2 Add '-24' to each side of the equation. 24 + -24 + 13x = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = -2 + -24 13x = -2 + -24 Combine like terms: -2 + -24 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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