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Simplifying (0.375x + 50) + (x + 31) = 180 Reorder the terms: (50 + 0.375x) + (x + 31) = 180 Remove parenthesis around (50 + 0.375x) 50 + 0.375x + (x + 31) = 180 Reorder the terms: 50 + 0.375x + (31 + x) = 180 Remove parenthesis around (31 + x) 50 + 0.375x + 31 + x = 180 Reorder the terms: 50 + 31 + 0.375x + x = 180 Combine like terms: 50 + 31 = 81 81 + 0.375x + x = 180 Combine like terms: 0.375x + x = 1.375x 81 + 1.375x = 180 Solving 81 + 1.375x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 1.375x = 180 + -81 Combine like terms: 81 + -81 = 0 0 + 1.375x = 180 + -81 1.375x = 180 + -81 Combine like terms: 180 + -81 = 99 1.375x = 99 Divide each side by '1.375'. x = 72 Simplifying x = 72
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