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Simplifying (42x + 37) + -1(26 + -34x) = 26x + 211 Reorder the terms: (37 + 42x) + -1(26 + -34x) = 26x + 211 Remove parenthesis around (37 + 42x) 37 + 42x + -1(26 + -34x) = 26x + 211 37 + 42x + (26 * -1 + -34x * -1) = 26x + 211 37 + 42x + (-26 + 34x) = 26x + 211 Reorder the terms: 37 + -26 + 42x + 34x = 26x + 211 Combine like terms: 37 + -26 = 11 11 + 42x + 34x = 26x + 211 Combine like terms: 42x + 34x = 76x 11 + 76x = 26x + 211 Reorder the terms: 11 + 76x = 211 + 26x Solving 11 + 76x = 211 + 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. 11 + 76x + -26x = 211 + 26x + -26x Combine like terms: 76x + -26x = 50x 11 + 50x = 211 + 26x + -26x Combine like terms: 26x + -26x = 0 11 + 50x = 211 + 0 11 + 50x = 211 Add '-11' to each side of the equation. 11 + -11 + 50x = 211 + -11 Combine like terms: 11 + -11 = 0 0 + 50x = 211 + -11 50x = 211 + -11 Combine like terms: 211 + -11 = 200 50x = 200 Divide each side by '50'. x = 4 Simplifying x = 4
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