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Simplifying 205000 = 40x + 12.5(x + 1) Reorder the terms: 205000 = 40x + 12.5(1 + x) 205000 = 40x + (1 * 12.5 + x * 12.5) 205000 = 40x + (12.5 + 12.5x) Reorder the terms: 205000 = 12.5 + 40x + 12.5x Combine like terms: 40x + 12.5x = 52.5x 205000 = 12.5 + 52.5x Solving 205000 = 12.5 + 52.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52.5x' to each side of the equation. 205000 + -52.5x = 12.5 + 52.5x + -52.5x Combine like terms: 52.5x + -52.5x = 0.0 205000 + -52.5x = 12.5 + 0.0 205000 + -52.5x = 12.5 Add '-205000' to each side of the equation. 205000 + -205000 + -52.5x = 12.5 + -205000 Combine like terms: 205000 + -205000 = 0 0 + -52.5x = 12.5 + -205000 -52.5x = 12.5 + -205000 Combine like terms: 12.5 + -205000 = -204987.5 -52.5x = -204987.5 Divide each side by '-52.5'. x = 3904.52381 Simplifying x = 3904.52381
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