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Simplifying 6x + -17 = 5x + 13 Reorder the terms: -17 + 6x = 5x + 13 Reorder the terms: -17 + 6x = 13 + 5x Solving -17 + 6x = 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 + 6x + -5x = 13 + 5x + -5x Combine like terms: 6x + -5x = 1x -17 + 1x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 1x = 13 + 0 -17 + 1x = 13 Add '17' to each side of the equation. -17 + 17 + 1x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 13 + 17 1x = 13 + 17 Combine like terms: 13 + 17 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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