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Simplifying 0.045x + 5.263 = 0.02x + 5.258 Reorder the terms: 5.263 + 0.045x = 0.02x + 5.258 Reorder the terms: 5.263 + 0.045x = 5.258 + 0.02x Solving 5.263 + 0.045x = 5.258 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. 5.263 + 0.045x + -0.02x = 5.258 + 0.02x + -0.02x Combine like terms: 0.045x + -0.02x = 0.025x 5.263 + 0.025x = 5.258 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 5.263 + 0.025x = 5.258 + 0.00 5.263 + 0.025x = 5.258 Add '-5.263' to each side of the equation. 5.263 + -5.263 + 0.025x = 5.258 + -5.263 Combine like terms: 5.263 + -5.263 = 0.000 0.000 + 0.025x = 5.258 + -5.263 0.025x = 5.258 + -5.263 Combine like terms: 5.258 + -5.263 = -0.005 0.025x = -0.005 Divide each side by '0.025'. x = -0.2 Simplifying x = -0.2
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