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Simplifying 3(x + 8) = 6 + -3x Reorder the terms: 3(8 + x) = 6 + -3x (8 * 3 + x * 3) = 6 + -3x (24 + 3x) = 6 + -3x Solving 24 + 3x = 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 + 3x + 3x = 6 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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