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Simplifying (3x + -41) + (9x + -116) = 83 Reorder the terms: (-41 + 3x) + (9x + -116) = 83 Remove parenthesis around (-41 + 3x) -41 + 3x + (9x + -116) = 83 Reorder the terms: -41 + 3x + (-116 + 9x) = 83 Remove parenthesis around (-116 + 9x) -41 + 3x + -116 + 9x = 83 Reorder the terms: -41 + -116 + 3x + 9x = 83 Combine like terms: -41 + -116 = -157 -157 + 3x + 9x = 83 Combine like terms: 3x + 9x = 12x -157 + 12x = 83 Solving -157 + 12x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '157' to each side of the equation. -157 + 157 + 12x = 83 + 157 Combine like terms: -157 + 157 = 0 0 + 12x = 83 + 157 12x = 83 + 157 Combine like terms: 83 + 157 = 240 12x = 240 Divide each side by '12'. x = 20 Simplifying x = 20
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