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Simplifying (5x + 8) + (7x + -13) = 0 Reorder the terms: (8 + 5x) + (7x + -13) = 0 Remove parenthesis around (8 + 5x) 8 + 5x + (7x + -13) = 0 Reorder the terms: 8 + 5x + (-13 + 7x) = 0 Remove parenthesis around (-13 + 7x) 8 + 5x + -13 + 7x = 0 Reorder the terms: 8 + -13 + 5x + 7x = 0 Combine like terms: 8 + -13 = -5 -5 + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x -5 + 12x = 0 Solving -5 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 0 + 5 12x = 0 + 5 Combine like terms: 0 + 5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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