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Simplifying -51 + -9x = 8x + 17 Reorder the terms: -51 + -9x = 17 + 8x Solving -51 + -9x = 17 + 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. -51 + -9x + -8x = 17 + 8x + -8x Combine like terms: -9x + -8x = -17x -51 + -17x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -17x = 17 + 0 -51 + -17x = 17 Add '51' to each side of the equation. -51 + 51 + -17x = 17 + 51 Combine like terms: -51 + 51 = 0 0 + -17x = 17 + 51 -17x = 17 + 51 Combine like terms: 17 + 51 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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