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Simplifying 10x + -17 = 8x + 5 Reorder the terms: -17 + 10x = 8x + 5 Reorder the terms: -17 + 10x = 5 + 8x Solving -17 + 10x = 5 + 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. -17 + 10x + -8x = 5 + 8x + -8x Combine like terms: 10x + -8x = 2x -17 + 2x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + 2x = 5 + 0 -17 + 2x = 5 Add '17' to each side of the equation. -17 + 17 + 2x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 5 + 17 2x = 5 + 17 Combine like terms: 5 + 17 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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