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Simplifying (3x + -6) + (17x + 1) + (5x + 10) = 180 Reorder the terms: (-6 + 3x) + (17x + 1) + (5x + 10) = 180 Remove parenthesis around (-6 + 3x) -6 + 3x + (17x + 1) + (5x + 10) = 180 Reorder the terms: -6 + 3x + (1 + 17x) + (5x + 10) = 180 Remove parenthesis around (1 + 17x) -6 + 3x + 1 + 17x + (5x + 10) = 180 Reorder the terms: -6 + 3x + 1 + 17x + (10 + 5x) = 180 Remove parenthesis around (10 + 5x) -6 + 3x + 1 + 17x + 10 + 5x = 180 Reorder the terms: -6 + 1 + 10 + 3x + 17x + 5x = 180 Combine like terms: -6 + 1 = -5 -5 + 10 + 3x + 17x + 5x = 180 Combine like terms: -5 + 10 = 5 5 + 3x + 17x + 5x = 180 Combine like terms: 3x + 17x = 20x 5 + 20x + 5x = 180 Combine like terms: 20x + 5x = 25x 5 + 25x = 180 Solving 5 + 25x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 25x = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 25x = 180 + -5 25x = 180 + -5 Combine like terms: 180 + -5 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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