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Simplifying -17 + 8x + 2x = 5x + 13 Combine like terms: 8x + 2x = 10x -17 + 10x = 5x + 13 Reorder the terms: -17 + 10x = 13 + 5x Solving -17 + 10x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -17 + 10x + -5x = 13 + 5x + -5x Combine like terms: 10x + -5x = 5x -17 + 5x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 5x = 13 + 0 -17 + 5x = 13 Add '17' to each side of the equation. -17 + 17 + 5x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 13 + 17 5x = 13 + 17 Combine like terms: 13 + 17 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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