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Simplifying 500 + 0.04x = 400 + 0.05x Solving 500 + 0.04x = 400 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 500 + 0.04x + -0.05x = 400 + 0.05x + -0.05x Combine like terms: 0.04x + -0.05x = -0.01x 500 + -0.01x = 400 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 500 + -0.01x = 400 + 0.00 500 + -0.01x = 400 Add '-500' to each side of the equation. 500 + -500 + -0.01x = 400 + -500 Combine like terms: 500 + -500 = 0 0 + -0.01x = 400 + -500 -0.01x = 400 + -500 Combine like terms: 400 + -500 = -100 -0.01x = -100 Divide each side by '-0.01'. x = 10000 Simplifying x = 10000
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