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Simplifying (180 + -1(10x + 9)) + (7x + 1) + 38 = 180 Reorder the terms: (180 + -1(9 + 10x)) + (7x + 1) + 38 = 180 (180 + (9 * -1 + 10x * -1)) + (7x + 1) + 38 = 180 (180 + (-9 + -10x)) + (7x + 1) + 38 = 180 Combine like terms: 180 + -9 = 171 (171 + -10x) + (7x + 1) + 38 = 180 Remove parenthesis around (171 + -10x) 171 + -10x + (7x + 1) + 38 = 180 Reorder the terms: 171 + -10x + (1 + 7x) + 38 = 180 Remove parenthesis around (1 + 7x) 171 + -10x + 1 + 7x + 38 = 180 Reorder the terms: 171 + 1 + 38 + -10x + 7x = 180 Combine like terms: 171 + 1 = 172 172 + 38 + -10x + 7x = 180 Combine like terms: 172 + 38 = 210 210 + -10x + 7x = 180 Combine like terms: -10x + 7x = -3x 210 + -3x = 180 Solving 210 + -3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + -3x = 180 + -210 Combine like terms: 210 + -210 = 0 0 + -3x = 180 + -210 -3x = 180 + -210 Combine like terms: 180 + -210 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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