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Simplifying (6x + -17) + (5x + 35) + (7x + 15) = 180 Reorder the terms: (-17 + 6x) + (5x + 35) + (7x + 15) = 180 Remove parenthesis around (-17 + 6x) -17 + 6x + (5x + 35) + (7x + 15) = 180 Reorder the terms: -17 + 6x + (35 + 5x) + (7x + 15) = 180 Remove parenthesis around (35 + 5x) -17 + 6x + 35 + 5x + (7x + 15) = 180 Reorder the terms: -17 + 6x + 35 + 5x + (15 + 7x) = 180 Remove parenthesis around (15 + 7x) -17 + 6x + 35 + 5x + 15 + 7x = 180 Reorder the terms: -17 + 35 + 15 + 6x + 5x + 7x = 180 Combine like terms: -17 + 35 = 18 18 + 15 + 6x + 5x + 7x = 180 Combine like terms: 18 + 15 = 33 33 + 6x + 5x + 7x = 180 Combine like terms: 6x + 5x = 11x 33 + 11x + 7x = 180 Combine like terms: 11x + 7x = 18x 33 + 18x = 180 Solving 33 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 18x = 180 + -33 Combine like terms: 33 + -33 = 0 0 + 18x = 180 + -33 18x = 180 + -33 Combine like terms: 180 + -33 = 147 18x = 147 Divide each side by '18'. x = 8.166666667 Simplifying x = 8.166666667
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