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Simplifying 6x + 9 = -51 + -6x Reorder the terms: 9 + 6x = -51 + -6x Solving 9 + 6x = -51 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 6x + 6x = -51 + -6x + 6x Combine like terms: 6x + 6x = 12x 9 + 12x = -51 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 12x = -51 + 0 9 + 12x = -51 Add '-9' to each side of the equation. 9 + -9 + 12x = -51 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = -51 + -9 12x = -51 + -9 Combine like terms: -51 + -9 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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