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Simplifying 2x + 9 = (-51) + -8x Reorder the terms: 9 + 2x = (-51) + -8x 9 + 2x = -51 + -8x Solving 9 + 2x = -51 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 2x + 8x = -51 + -8x + 8x Combine like terms: 2x + 8x = 10x 9 + 10x = -51 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 10x = -51 + 0 9 + 10x = -51 Add '-9' to each side of the equation. 9 + -9 + 10x = -51 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -51 + -9 10x = -51 + -9 Combine like terms: -51 + -9 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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