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Simplifying 10x + 9 = 8x + 17 Reorder the terms: 9 + 10x = 8x + 17 Reorder the terms: 9 + 10x = 17 + 8x Solving 9 + 10x = 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. 9 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x 9 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 2x = 17 + 0 9 + 2x = 17 Add '-9' to each side of the equation. 9 + -9 + 2x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 17 + -9 2x = 17 + -9 Combine like terms: 17 + -9 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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