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Simplifying 10x + (7x + -1) + (5x + -17) = 180 Reorder the terms: 10x + (-1 + 7x) + (5x + -17) = 180 Remove parenthesis around (-1 + 7x) 10x + -1 + 7x + (5x + -17) = 180 Reorder the terms: 10x + -1 + 7x + (-17 + 5x) = 180 Remove parenthesis around (-17 + 5x) 10x + -1 + 7x + -17 + 5x = 180 Reorder the terms: -1 + -17 + 10x + 7x + 5x = 180 Combine like terms: -1 + -17 = -18 -18 + 10x + 7x + 5x = 180 Combine like terms: 10x + 7x = 17x -18 + 17x + 5x = 180 Combine like terms: 17x + 5x = 22x -18 + 22x = 180 Solving -18 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 22x = 180 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 180 + 18 22x = 180 + 18 Combine like terms: 180 + 18 = 198 22x = 198 Divide each side by '22'. x = 9 Simplifying x = 9
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