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Simplifying 3(4x + 8) = -3x + -6 Reorder the terms: 3(8 + 4x) = -3x + -6 (8 * 3 + 4x * 3) = -3x + -6 (24 + 12x) = -3x + -6 Reorder the terms: 24 + 12x = -6 + -3x Solving 24 + 12x = -6 + -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. 24 + 12x + 3x = -6 + -3x + 3x Combine like terms: 12x + 3x = 15x 24 + 15x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 15x = -6 + 0 24 + 15x = -6 Add '-24' to each side of the equation. 24 + -24 + 15x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = -6 + -24 15x = -6 + -24 Combine like terms: -6 + -24 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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