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Simplifying (180 + -1(5x + -103) + -1(x + 31) + (8x + -138)) = 180 Reorder the terms: (180 + -1(-103 + 5x) + -1(x + 31) + (8x + -138)) = 180 (180 + (-103 * -1 + 5x * -1) + -1(x + 31) + (8x + -138)) = 180 (180 + (103 + -5x) + -1(x + 31) + (8x + -138)) = 180 Reorder the terms: (180 + 103 + -5x + -1(31 + x) + (8x + -138)) = 180 (180 + 103 + -5x + (31 * -1 + x * -1) + (8x + -138)) = 180 (180 + 103 + -5x + (-31 + -1x) + (8x + -138)) = 180 Reorder the terms: (180 + 103 + -5x + -31 + -1x + (-138 + 8x)) = 180 Remove parenthesis around (-138 + 8x) (180 + 103 + -5x + -31 + -1x + -138 + 8x) = 180 Reorder the terms: (180 + 103 + -31 + -138 + -5x + -1x + 8x) = 180 Combine like terms: 180 + 103 = 283 (283 + -31 + -138 + -5x + -1x + 8x) = 180 Combine like terms: 283 + -31 = 252 (252 + -138 + -5x + -1x + 8x) = 180 Combine like terms: 252 + -138 = 114 (114 + -5x + -1x + 8x) = 180 Combine like terms: -5x + -1x = -6x (114 + -6x + 8x) = 180 Combine like terms: -6x + 8x = 2x (114 + 2x) = 180 Remove parenthesis around (114 + 2x) 114 + 2x = 180 Solving 114 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 2x = 180 + -114 Combine like terms: 114 + -114 = 0 0 + 2x = 180 + -114 2x = 180 + -114 Combine like terms: 180 + -114 = 66 2x = 66 Divide each side by '2'. x = 33 Simplifying x = 33
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