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Simplifying (4x + 9) + (7x + -13) + (2x + 2) = 180 Reorder the terms: (9 + 4x) + (7x + -13) + (2x + 2) = 180 Remove parenthesis around (9 + 4x) 9 + 4x + (7x + -13) + (2x + 2) = 180 Reorder the terms: 9 + 4x + (-13 + 7x) + (2x + 2) = 180 Remove parenthesis around (-13 + 7x) 9 + 4x + -13 + 7x + (2x + 2) = 180 Reorder the terms: 9 + 4x + -13 + 7x + (2 + 2x) = 180 Remove parenthesis around (2 + 2x) 9 + 4x + -13 + 7x + 2 + 2x = 180 Reorder the terms: 9 + -13 + 2 + 4x + 7x + 2x = 180 Combine like terms: 9 + -13 = -4 -4 + 2 + 4x + 7x + 2x = 180 Combine like terms: -4 + 2 = -2 -2 + 4x + 7x + 2x = 180 Combine like terms: 4x + 7x = 11x -2 + 11x + 2x = 180 Combine like terms: 11x + 2x = 13x -2 + 13x = 180 Solving -2 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 180 + 2 13x = 180 + 2 Combine like terms: 180 + 2 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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