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Simplifying 10x + 5 = 8x + 17 Reorder the terms: 5 + 10x = 8x + 17 Reorder the terms: 5 + 10x = 17 + 8x Solving 5 + 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. 5 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x 5 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 2x = 17 + 0 5 + 2x = 17 Add '-5' to each side of the equation. 5 + -5 + 2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 17 + -5 2x = 17 + -5 Combine like terms: 17 + -5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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