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Simplifying (3x + -13) + (2x + 4) = 116 Reorder the terms: (-13 + 3x) + (2x + 4) = 116 Remove parenthesis around (-13 + 3x) -13 + 3x + (2x + 4) = 116 Reorder the terms: -13 + 3x + (4 + 2x) = 116 Remove parenthesis around (4 + 2x) -13 + 3x + 4 + 2x = 116 Reorder the terms: -13 + 4 + 3x + 2x = 116 Combine like terms: -13 + 4 = -9 -9 + 3x + 2x = 116 Combine like terms: 3x + 2x = 5x -9 + 5x = 116 Solving -9 + 5x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x = 116 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 116 + 9 5x = 116 + 9 Combine like terms: 116 + 9 = 125 5x = 125 Divide each side by '5'. x = 25 Simplifying x = 25
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