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Simplifying 6x + 17 = 3x + 35 Reorder the terms: 17 + 6x = 3x + 35 Reorder the terms: 17 + 6x = 35 + 3x Solving 17 + 6x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 6x + -3x = 35 + 3x + -3x Combine like terms: 6x + -3x = 3x 17 + 3x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 3x = 35 + 0 17 + 3x = 35 Add '-17' to each side of the equation. 17 + -17 + 3x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 35 + -17 3x = 35 + -17 Combine like terms: 35 + -17 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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