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Simplifying 6x + 17 = 4x + 31 Reorder the terms: 17 + 6x = 4x + 31 Reorder the terms: 17 + 6x = 31 + 4x Solving 17 + 6x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 6x + -4x = 31 + 4x + -4x Combine like terms: 6x + -4x = 2x 17 + 2x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 2x = 31 + 0 17 + 2x = 31 Add '-17' to each side of the equation. 17 + -17 + 2x = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 31 + -17 2x = 31 + -17 Combine like terms: 31 + -17 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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