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Simplifying 535 + 0.21x = 585 + 0.13x Solving 535 + 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. 535 + 0.21x + -0.13x = 585 + 0.13x + -0.13x Combine like terms: 0.21x + -0.13x = 0.08x 535 + 0.08x = 585 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 535 + 0.08x = 585 + 0.00 535 + 0.08x = 585 Add '-535' to each side of the equation. 535 + -535 + 0.08x = 585 + -535 Combine like terms: 535 + -535 = 0 0 + 0.08x = 585 + -535 0.08x = 585 + -535 Combine like terms: 585 + -535 = 50 0.08x = 50 Divide each side by '0.08'. x = 625 Simplifying x = 625
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