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Simplifying 38 + (7x + 1) + (10x + 22) = 180 Reorder the terms: 38 + (1 + 7x) + (10x + 22) = 180 Remove parenthesis around (1 + 7x) 38 + 1 + 7x + (10x + 22) = 180 Reorder the terms: 38 + 1 + 7x + (22 + 10x) = 180 Remove parenthesis around (22 + 10x) 38 + 1 + 7x + 22 + 10x = 180 Reorder the terms: 38 + 1 + 22 + 7x + 10x = 180 Combine like terms: 38 + 1 = 39 39 + 22 + 7x + 10x = 180 Combine like terms: 39 + 22 = 61 61 + 7x + 10x = 180 Combine like terms: 7x + 10x = 17x 61 + 17x = 180 Solving 61 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 17x = 180 + -61 Combine like terms: 61 + -61 = 0 0 + 17x = 180 + -61 17x = 180 + -61 Combine like terms: 180 + -61 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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