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Simplifying 0.03x + 35 = 0.02x + 45 Reorder the terms: 35 + 0.03x = 0.02x + 45 Reorder the terms: 35 + 0.03x = 45 + 0.02x Solving 35 + 0.03x = 45 + 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. 35 + 0.03x + -0.02x = 45 + 0.02x + -0.02x Combine like terms: 0.03x + -0.02x = 0.01x 35 + 0.01x = 45 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 35 + 0.01x = 45 + 0.00 35 + 0.01x = 45 Add '-35' to each side of the equation. 35 + -35 + 0.01x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 0.01x = 45 + -35 0.01x = 45 + -35 Combine like terms: 45 + -35 = 10 0.01x = 10 Divide each side by '0.01'. x = 1000 Simplifying x = 1000
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