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Simplifying 8x + -17 = 5x + -2 Reorder the terms: -17 + 8x = 5x + -2 Reorder the terms: -17 + 8x = -2 + 5x Solving -17 + 8x = -2 + 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 + 8x + -5x = -2 + 5x + -5x Combine like terms: 8x + -5x = 3x -17 + 3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 3x = -2 + 0 -17 + 3x = -2 Add '17' to each side of the equation. -17 + 17 + 3x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -2 + 17 3x = -2 + 17 Combine like terms: -2 + 17 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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