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Simplifying -10x + -289 = 101 + -20x Reorder the terms: -289 + -10x = 101 + -20x Solving -289 + -10x = 101 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -289 + -10x + 20x = 101 + -20x + 20x Combine like terms: -10x + 20x = 10x -289 + 10x = 101 + -20x + 20x Combine like terms: -20x + 20x = 0 -289 + 10x = 101 + 0 -289 + 10x = 101 Add '289' to each side of the equation. -289 + 289 + 10x = 101 + 289 Combine like terms: -289 + 289 = 0 0 + 10x = 101 + 289 10x = 101 + 289 Combine like terms: 101 + 289 = 390 10x = 390 Divide each side by '10'. x = 39 Simplifying x = 39
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