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Simplifying (x + 9) + (2x + 9) + (4x + -6) = 180 Reorder the terms: (9 + x) + (2x + 9) + (4x + -6) = 180 Remove parenthesis around (9 + x) 9 + x + (2x + 9) + (4x + -6) = 180 Reorder the terms: 9 + x + (9 + 2x) + (4x + -6) = 180 Remove parenthesis around (9 + 2x) 9 + x + 9 + 2x + (4x + -6) = 180 Reorder the terms: 9 + x + 9 + 2x + (-6 + 4x) = 180 Remove parenthesis around (-6 + 4x) 9 + x + 9 + 2x + -6 + 4x = 180 Reorder the terms: 9 + 9 + -6 + x + 2x + 4x = 180 Combine like terms: 9 + 9 = 18 18 + -6 + x + 2x + 4x = 180 Combine like terms: 18 + -6 = 12 12 + x + 2x + 4x = 180 Combine like terms: x + 2x = 3x 12 + 3x + 4x = 180 Combine like terms: 3x + 4x = 7x 12 + 7x = 180 Solving 12 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 180 + -12 7x = 180 + -12 Combine like terms: 180 + -12 = 168 7x = 168 Divide each side by '7'. x = 24 Simplifying x = 24
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