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Simplifying (7x + 5) + (3x + 2) + (2x + -19) = 180 Reorder the terms: (5 + 7x) + (3x + 2) + (2x + -19) = 180 Remove parenthesis around (5 + 7x) 5 + 7x + (3x + 2) + (2x + -19) = 180 Reorder the terms: 5 + 7x + (2 + 3x) + (2x + -19) = 180 Remove parenthesis around (2 + 3x) 5 + 7x + 2 + 3x + (2x + -19) = 180 Reorder the terms: 5 + 7x + 2 + 3x + (-19 + 2x) = 180 Remove parenthesis around (-19 + 2x) 5 + 7x + 2 + 3x + -19 + 2x = 180 Reorder the terms: 5 + 2 + -19 + 7x + 3x + 2x = 180 Combine like terms: 5 + 2 = 7 7 + -19 + 7x + 3x + 2x = 180 Combine like terms: 7 + -19 = -12 -12 + 7x + 3x + 2x = 180 Combine like terms: 7x + 3x = 10x -12 + 10x + 2x = 180 Combine like terms: 10x + 2x = 12x -12 + 12x = 180 Solving -12 + 12x = 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 + 12x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 180 + 12 12x = 180 + 12 Combine like terms: 180 + 12 = 192 12x = 192 Divide each side by '12'. x = 16 Simplifying x = 16
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