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Simplifying 8x + -13 = 5x + 17 Reorder the terms: -13 + 8x = 5x + 17 Reorder the terms: -13 + 8x = 17 + 5x Solving -13 + 8x = 17 + 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. -13 + 8x + -5x = 17 + 5x + -5x Combine like terms: 8x + -5x = 3x -13 + 3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 3x = 17 + 0 -13 + 3x = 17 Add '13' to each side of the equation. -13 + 13 + 3x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 17 + 13 3x = 17 + 13 Combine like terms: 17 + 13 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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