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Simplifying 6x + 17 = 77 + -4x Reorder the terms: 17 + 6x = 77 + -4x Solving 17 + 6x = 77 + -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 = 77 + -4x + 4x Combine like terms: 6x + 4x = 10x 17 + 10x = 77 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 10x = 77 + 0 17 + 10x = 77 Add '-17' to each side of the equation. 17 + -17 + 10x = 77 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 77 + -17 10x = 77 + -17 Combine like terms: 77 + -17 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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