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Simplifying 400 + 0.15(x) = 600 + 0.10(x) Solving 400 + 0.15x = 600 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 400 + 0.15x + -0.10x = 600 + 0.10x + -0.10x Combine like terms: 0.15x + -0.10x = 0.05x 400 + 0.05x = 600 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 400 + 0.05x = 600 + 0.00 400 + 0.05x = 600 Add '-400' to each side of the equation. 400 + -400 + 0.05x = 600 + -400 Combine like terms: 400 + -400 = 0 0 + 0.05x = 600 + -400 0.05x = 600 + -400 Combine like terms: 600 + -400 = 200 0.05x = 200 Divide each side by '0.05'. x = 4000 Simplifying x = 4000
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