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Simplifying (21X + 13) + 2(6X + 1) = 180 Reorder the terms: (13 + 21X) + 2(6X + 1) = 180 Remove parenthesis around (13 + 21X) 13 + 21X + 2(6X + 1) = 180 Reorder the terms: 13 + 21X + 2(1 + 6X) = 180 13 + 21X + (1 * 2 + 6X * 2) = 180 13 + 21X + (2 + 12X) = 180 Reorder the terms: 13 + 2 + 21X + 12X = 180 Combine like terms: 13 + 2 = 15 15 + 21X + 12X = 180 Combine like terms: 21X + 12X = 33X 15 + 33X = 180 Solving 15 + 33X = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 33X = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 33X = 180 + -15 33X = 180 + -15 Combine like terms: 180 + -15 = 165 33X = 165 Divide each side by '33'. X = 5 Simplifying X = 5
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