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Simplifying 525 + 0.12x = 585 + 0.13x Solving 525 + 0.12x = 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 + 0.12x + -0.13x = 585 + 0.13x + -0.13x Combine like terms: 0.12x + -0.13x = -0.01x 525 + -0.01x = 585 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 525 + -0.01x = 585 + 0.00 525 + -0.01x = 585 Add '-525' to each side of the equation. 525 + -525 + -0.01x = 585 + -525 Combine like terms: 525 + -525 = 0 0 + -0.01x = 585 + -525 -0.01x = 585 + -525 Combine like terms: 585 + -525 = 60 -0.01x = 60 Divide each side by '-0.01'. x = -6000 Simplifying x = -6000
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