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Simplifying 12x + 12 + 15x + 5 = 2(180 + -1(13x + 10)) Reorder the terms: 12 + 5 + 12x + 15x = 2(180 + -1(13x + 10)) Combine like terms: 12 + 5 = 17 17 + 12x + 15x = 2(180 + -1(13x + 10)) Combine like terms: 12x + 15x = 27x 17 + 27x = 2(180 + -1(13x + 10)) Reorder the terms: 17 + 27x = 2(180 + -1(10 + 13x)) 17 + 27x = 2(180 + (10 * -1 + 13x * -1)) 17 + 27x = 2(180 + (-10 + -13x)) Combine like terms: 180 + -10 = 170 17 + 27x = 2(170 + -13x) 17 + 27x = (170 * 2 + -13x * 2) 17 + 27x = (340 + -26x) Solving 17 + 27x = 340 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 17 + 27x + 26x = 340 + -26x + 26x Combine like terms: 27x + 26x = 53x 17 + 53x = 340 + -26x + 26x Combine like terms: -26x + 26x = 0 17 + 53x = 340 + 0 17 + 53x = 340 Add '-17' to each side of the equation. 17 + -17 + 53x = 340 + -17 Combine like terms: 17 + -17 = 0 0 + 53x = 340 + -17 53x = 340 + -17 Combine like terms: 340 + -17 = 323 53x = 323 Divide each side by '53'. x = 6.094339623 Simplifying x = 6.094339623
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