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Simplifying (5x + -6) + (7x + -25) = 77 Reorder the terms: (-6 + 5x) + (7x + -25) = 77 Remove parenthesis around (-6 + 5x) -6 + 5x + (7x + -25) = 77 Reorder the terms: -6 + 5x + (-25 + 7x) = 77 Remove parenthesis around (-25 + 7x) -6 + 5x + -25 + 7x = 77 Reorder the terms: -6 + -25 + 5x + 7x = 77 Combine like terms: -6 + -25 = -31 -31 + 5x + 7x = 77 Combine like terms: 5x + 7x = 12x -31 + 12x = 77 Solving -31 + 12x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 12x = 77 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 77 + 31 12x = 77 + 31 Combine like terms: 77 + 31 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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