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Simplifying 0.02x + 7 = 0.03x + 5 Reorder the terms: 7 + 0.02x = 0.03x + 5 Reorder the terms: 7 + 0.02x = 5 + 0.03x Solving 7 + 0.02x = 5 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 7 + 0.02x + -0.03x = 5 + 0.03x + -0.03x Combine like terms: 0.02x + -0.03x = -0.01x 7 + -0.01x = 5 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 7 + -0.01x = 5 + 0.00 7 + -0.01x = 5 Add '-7' to each side of the equation. 7 + -7 + -0.01x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -0.01x = 5 + -7 -0.01x = 5 + -7 Combine like terms: 5 + -7 = -2 -0.01x = -2 Divide each side by '-0.01'. x = 200 Simplifying x = 200
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