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Simplifying (3x + 13) + (4x + -8) = 75 Reorder the terms: (13 + 3x) + (4x + -8) = 75 Remove parenthesis around (13 + 3x) 13 + 3x + (4x + -8) = 75 Reorder the terms: 13 + 3x + (-8 + 4x) = 75 Remove parenthesis around (-8 + 4x) 13 + 3x + -8 + 4x = 75 Reorder the terms: 13 + -8 + 3x + 4x = 75 Combine like terms: 13 + -8 = 5 5 + 3x + 4x = 75 Combine like terms: 3x + 4x = 7x 5 + 7x = 75 Solving 5 + 7x = 75 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 + 7x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 75 + -5 7x = 75 + -5 Combine like terms: 75 + -5 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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