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Simplifying (3x + 1) + (4x + -3) + 4x = 97 Reorder the terms: (1 + 3x) + (4x + -3) + 4x = 97 Remove parenthesis around (1 + 3x) 1 + 3x + (4x + -3) + 4x = 97 Reorder the terms: 1 + 3x + (-3 + 4x) + 4x = 97 Remove parenthesis around (-3 + 4x) 1 + 3x + -3 + 4x + 4x = 97 Reorder the terms: 1 + -3 + 3x + 4x + 4x = 97 Combine like terms: 1 + -3 = -2 -2 + 3x + 4x + 4x = 97 Combine like terms: 3x + 4x = 7x -2 + 7x + 4x = 97 Combine like terms: 7x + 4x = 11x -2 + 11x = 97 Solving -2 + 11x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 97 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 97 + 2 11x = 97 + 2 Combine like terms: 97 + 2 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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