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Simplifying (3x + 1) + (4x + -7) = 85 Reorder the terms: (1 + 3x) + (4x + -7) = 85 Remove parenthesis around (1 + 3x) 1 + 3x + (4x + -7) = 85 Reorder the terms: 1 + 3x + (-7 + 4x) = 85 Remove parenthesis around (-7 + 4x) 1 + 3x + -7 + 4x = 85 Reorder the terms: 1 + -7 + 3x + 4x = 85 Combine like terms: 1 + -7 = -6 -6 + 3x + 4x = 85 Combine like terms: 3x + 4x = 7x -6 + 7x = 85 Solving -6 + 7x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 85 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 85 + 6 7x = 85 + 6 Combine like terms: 85 + 6 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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