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Simplifying (x + 21) + (x + 17) = 180 Reorder the terms: (21 + x) + (x + 17) = 180 Remove parenthesis around (21 + x) 21 + x + (x + 17) = 180 Reorder the terms: 21 + x + (17 + x) = 180 Remove parenthesis around (17 + x) 21 + x + 17 + x = 180 Reorder the terms: 21 + 17 + x + x = 180 Combine like terms: 21 + 17 = 38 38 + x + x = 180 Combine like terms: x + x = 2x 38 + 2x = 180 Solving 38 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2x = 180 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 180 + -38 2x = 180 + -38 Combine like terms: 180 + -38 = 142 2x = 142 Divide each side by '2'. x = 71 Simplifying x = 71
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