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Simplifying (4x + 5) + (x + -9) = 41 Reorder the terms: (5 + 4x) + (x + -9) = 41 Remove parenthesis around (5 + 4x) 5 + 4x + (x + -9) = 41 Reorder the terms: 5 + 4x + (-9 + x) = 41 Remove parenthesis around (-9 + x) 5 + 4x + -9 + x = 41 Reorder the terms: 5 + -9 + 4x + x = 41 Combine like terms: 5 + -9 = -4 -4 + 4x + x = 41 Combine like terms: 4x + x = 5x -4 + 5x = 41 Solving -4 + 5x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 41 + 4 5x = 41 + 4 Combine like terms: 41 + 4 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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