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Simplifying 0.21x + 525 = 585 + 0.13x Reorder the terms: 525 + 0.21x = 585 + 0.13x Solving 525 + 0.21x = 585 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 525 + 0.21x + -0.13x = 585 + 0.13x + -0.13x Combine like terms: 0.21x + -0.13x = 0.08x 525 + 0.08x = 585 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 525 + 0.08x = 585 + 0.00 525 + 0.08x = 585 Add '-525' to each side of the equation. 525 + -525 + 0.08x = 585 + -525 Combine like terms: 525 + -525 = 0 0 + 0.08x = 585 + -525 0.08x = 585 + -525 Combine like terms: 585 + -525 = 60 0.08x = 60 Divide each side by '0.08'. x = 750 Simplifying x = 750
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