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Simplifying 6x + 17 = 3x + 38 Reorder the terms: 17 + 6x = 3x + 38 Reorder the terms: 17 + 6x = 38 + 3x Solving 17 + 6x = 38 + 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 = 38 + 3x + -3x Combine like terms: 6x + -3x = 3x 17 + 3x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 3x = 38 + 0 17 + 3x = 38 Add '-17' to each side of the equation. 17 + -17 + 3x = 38 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 38 + -17 3x = 38 + -17 Combine like terms: 38 + -17 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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