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Simplifying (8x + -41) + (9x + 17) = 180 Reorder the terms: (-41 + 8x) + (9x + 17) = 180 Remove parenthesis around (-41 + 8x) -41 + 8x + (9x + 17) = 180 Reorder the terms: -41 + 8x + (17 + 9x) = 180 Remove parenthesis around (17 + 9x) -41 + 8x + 17 + 9x = 180 Reorder the terms: -41 + 17 + 8x + 9x = 180 Combine like terms: -41 + 17 = -24 -24 + 8x + 9x = 180 Combine like terms: 8x + 9x = 17x -24 + 17x = 180 Solving -24 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 17x = 180 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = 180 + 24 17x = 180 + 24 Combine like terms: 180 + 24 = 204 17x = 204 Divide each side by '17'. x = 12 Simplifying x = 12
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