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Simplifying 5x + 17 = 8x + 2 Reorder the terms: 17 + 5x = 8x + 2 Reorder the terms: 17 + 5x = 2 + 8x Solving 17 + 5x = 2 + 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. 17 + 5x + -8x = 2 + 8x + -8x Combine like terms: 5x + -8x = -3x 17 + -3x = 2 + 8x + -8x Combine like terms: 8x + -8x = 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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