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Simplifying (5x + 5) + (7x + -2) = 75 Reorder the terms: (5 + 5x) + (7x + -2) = 75 Remove parenthesis around (5 + 5x) 5 + 5x + (7x + -2) = 75 Reorder the terms: 5 + 5x + (-2 + 7x) = 75 Remove parenthesis around (-2 + 7x) 5 + 5x + -2 + 7x = 75 Reorder the terms: 5 + -2 + 5x + 7x = 75 Combine like terms: 5 + -2 = 3 3 + 5x + 7x = 75 Combine like terms: 5x + 7x = 12x 3 + 12x = 75 Solving 3 + 12x = 75 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 + 12x = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 75 + -3 12x = 75 + -3 Combine like terms: 75 + -3 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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