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Simplifying (12x + -22) + (9x + -29) = 180 Reorder the terms: (-22 + 12x) + (9x + -29) = 180 Remove parenthesis around (-22 + 12x) -22 + 12x + (9x + -29) = 180 Reorder the terms: -22 + 12x + (-29 + 9x) = 180 Remove parenthesis around (-29 + 9x) -22 + 12x + -29 + 9x = 180 Reorder the terms: -22 + -29 + 12x + 9x = 180 Combine like terms: -22 + -29 = -51 -51 + 12x + 9x = 180 Combine like terms: 12x + 9x = 21x -51 + 21x = 180 Solving -51 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 21x = 180 + 51 Combine like terms: -51 + 51 = 0 0 + 21x = 180 + 51 21x = 180 + 51 Combine like terms: 180 + 51 = 231 21x = 231 Divide each side by '21'. x = 11 Simplifying x = 11
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