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Simplifying 2000 + 0.05x = 75 + 0.10x Solving 2000 + 0.05x = 75 + 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. 2000 + 0.05x + -0.10x = 75 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 2000 + -0.05x = 75 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 2000 + -0.05x = 75 + 0.00 2000 + -0.05x = 75 Add '-2000' to each side of the equation. 2000 + -2000 + -0.05x = 75 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -0.05x = 75 + -2000 -0.05x = 75 + -2000 Combine like terms: 75 + -2000 = -1925 -0.05x = -1925 Divide each side by '-0.05'. x = 38500 Simplifying x = 38500
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