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Simplifying 38 + (7x + 1) + [180 + -1(10x + 9)] = 180 Reorder the terms: 38 + (1 + 7x) + [180 + -1(10x + 9)] = 180 Remove parenthesis around (1 + 7x) 38 + 1 + 7x + [180 + -1(10x + 9)] = 180 Reorder the terms: 38 + 1 + 7x + [180 + -1(9 + 10x)] = 180 38 + 1 + 7x + [180 + (9 * -1 + 10x * -1)] = 180 38 + 1 + 7x + [180 + (-9 + -10x)] = 180 Combine like terms: 180 + -9 = 171 38 + 1 + 7x + [171 + -10x] = 180 Remove brackets around [171 + -10x] 38 + 1 + 7x + 171 + -10x = 180 Reorder the terms: 38 + 1 + 171 + 7x + -10x = 180 Combine like terms: 38 + 1 = 39 39 + 171 + 7x + -10x = 180 Combine like terms: 39 + 171 = 210 210 + 7x + -10x = 180 Combine like terms: 7x + -10x = -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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