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Simplifying -17 + -9x = 10x + 51 Reorder the terms: -17 + -9x = 51 + 10x Solving -17 + -9x = 51 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + -9x + -10x = 51 + 10x + -10x Combine like terms: -9x + -10x = -19x -17 + -19x = 51 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -19x = 51 + 0 -17 + -19x = 51 Add '17' to each side of the equation. -17 + 17 + -19x = 51 + 17 Combine like terms: -17 + 17 = 0 0 + -19x = 51 + 17 -19x = 51 + 17 Combine like terms: 51 + 17 = 68 -19x = 68 Divide each side by '-19'. x = -3.578947368 Simplifying x = -3.578947368
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