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Simplifying (2x + -4) + (5x + 3) = 41 Reorder the terms: (-4 + 2x) + (5x + 3) = 41 Remove parenthesis around (-4 + 2x) -4 + 2x + (5x + 3) = 41 Reorder the terms: -4 + 2x + (3 + 5x) = 41 Remove parenthesis around (3 + 5x) -4 + 2x + 3 + 5x = 41 Reorder the terms: -4 + 3 + 2x + 5x = 41 Combine like terms: -4 + 3 = -1 -1 + 2x + 5x = 41 Combine like terms: 2x + 5x = 7x -1 + 7x = 41 Solving -1 + 7x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 41 + 1 7x = 41 + 1 Combine like terms: 41 + 1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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