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Simplifying 6x + 9 = -51 + -9x Reorder the terms: 9 + 6x = -51 + -9x Solving 9 + 6x = -51 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9 + 6x + 9x = -51 + -9x + 9x Combine like terms: 6x + 9x = 15x 9 + 15x = -51 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 15x = -51 + 0 9 + 15x = -51 Add '-9' to each side of the equation. 9 + -9 + 15x = -51 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = -51 + -9 15x = -51 + -9 Combine like terms: -51 + -9 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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