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Simplifying (2x + -9) + (7x + 13) + 41 = 180 Reorder the terms: (-9 + 2x) + (7x + 13) + 41 = 180 Remove parenthesis around (-9 + 2x) -9 + 2x + (7x + 13) + 41 = 180 Reorder the terms: -9 + 2x + (13 + 7x) + 41 = 180 Remove parenthesis around (13 + 7x) -9 + 2x + 13 + 7x + 41 = 180 Reorder the terms: -9 + 13 + 41 + 2x + 7x = 180 Combine like terms: -9 + 13 = 4 4 + 41 + 2x + 7x = 180 Combine like terms: 4 + 41 = 45 45 + 2x + 7x = 180 Combine like terms: 2x + 7x = 9x 45 + 9x = 180 Solving 45 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9x = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 180 + -45 9x = 180 + -45 Combine like terms: 180 + -45 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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