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Simplifying 6(x + 12) = -42 Reorder the terms: 6(12 + x) = -42 (12 * 6 + x * 6) = -42 (72 + 6x) = -42 Solving 72 + 6x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 6x = -42 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = -42 + -72 6x = -42 + -72 Combine like terms: -42 + -72 = -114 6x = -114 Divide each side by '6'. x = -19 Simplifying x = -19
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