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Simplifying (6x + -17) + (11x + 10) = 180 Reorder the terms: (-17 + 6x) + (11x + 10) = 180 Remove parenthesis around (-17 + 6x) -17 + 6x + (11x + 10) = 180 Reorder the terms: -17 + 6x + (10 + 11x) = 180 Remove parenthesis around (10 + 11x) -17 + 6x + 10 + 11x = 180 Reorder the terms: -17 + 10 + 6x + 11x = 180 Combine like terms: -17 + 10 = -7 -7 + 6x + 11x = 180 Combine like terms: 6x + 11x = 17x -7 + 17x = 180 Solving -7 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 17x = 180 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = 180 + 7 17x = 180 + 7 Combine like terms: 180 + 7 = 187 17x = 187 Divide each side by '17'. x = 11 Simplifying x = 11
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