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Simplifying 1200 + 0.10x = 1400 + 0.05x Solving 1200 + 0.10x = 1400 + 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. 1200 + 0.10x + -0.05x = 1400 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 1200 + 0.05x = 1400 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 1200 + 0.05x = 1400 + 0.00 1200 + 0.05x = 1400 Add '-1200' to each side of the equation. 1200 + -1200 + 0.05x = 1400 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 0.05x = 1400 + -1200 0.05x = 1400 + -1200 Combine like terms: 1400 + -1200 = 200 0.05x = 200 Divide each side by '0.05'. x = 4000 Simplifying x = 4000
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