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Simplifying 5x + 203x + 500 + 10 + -500 = 405.5 Reorder the terms: 500 + 10 + -500 + 5x + 203x = 405.5 Combine like terms: 500 + 10 = 510 510 + -500 + 5x + 203x = 405.5 Combine like terms: 510 + -500 = 10 10 + 5x + 203x = 405.5 Combine like terms: 5x + 203x = 208x 10 + 208x = 405.5 Solving 10 + 208x = 405.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 208x = 405.5 + -10 Combine like terms: 10 + -10 = 0 0 + 208x = 405.5 + -10 208x = 405.5 + -10 Combine like terms: 405.5 + -10 = 395.5 208x = 395.5 Divide each side by '208'. x = 1.901442308 Simplifying x = 1.901442308
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