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Simplifying (7x + -5) + (6x + 8) = 45 Reorder the terms: (-5 + 7x) + (6x + 8) = 45 Remove parenthesis around (-5 + 7x) -5 + 7x + (6x + 8) = 45 Reorder the terms: -5 + 7x + (8 + 6x) = 45 Remove parenthesis around (8 + 6x) -5 + 7x + 8 + 6x = 45 Reorder the terms: -5 + 8 + 7x + 6x = 45 Combine like terms: -5 + 8 = 3 3 + 7x + 6x = 45 Combine like terms: 7x + 6x = 13x 3 + 13x = 45 Solving 3 + 13x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 45 + -3 13x = 45 + -3 Combine like terms: 45 + -3 = 42 13x = 42 Divide each side by '13'. x = 3.230769231 Simplifying x = 3.230769231
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