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Simplifying 0.21x + 525.00 = 0.13x + 585.00 Reorder the terms: 525.00 + 0.21x = 0.13x + 585.00 Reorder the terms: 525.00 + 0.21x = 585.00 + 0.13x Solving 525.00 + 0.21x = 585.00 + 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. 525.00 + 0.21x + -0.13x = 585.00 + 0.13x + -0.13x Combine like terms: 0.21x + -0.13x = 0.08x 525.00 + 0.08x = 585.00 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 525.00 + 0.08x = 585.00 + 0.00 525.00 + 0.08x = 585.00 Add '-525.00' to each side of the equation. 525.00 + -525.00 + 0.08x = 585.00 + -525.00 Combine like terms: 525.00 + -525.00 = 0.00 0.00 + 0.08x = 585.00 + -525.00 0.08x = 585.00 + -525.00 Combine like terms: 585.00 + -525.00 = 60 0.08x = 60 Divide each side by '0.08'. x = 750 Simplifying x = 750
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