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Simplifying 0.4x + 100 = 0.45x Reorder the terms: 100 + 0.4x = 0.45x Solving 100 + 0.4x = 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 100 + 0.4x + -0.45x = 0.45x + -0.45x Combine like terms: 0.4x + -0.45x = -0.05x 100 + -0.05x = 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 100 + -0.05x = 0.00 Add '-100' to each side of the equation. 100 + -100 + -0.05x = 0.00 + -100 Combine like terms: 100 + -100 = 0 0 + -0.05x = 0.00 + -100 -0.05x = 0.00 + -100 Combine like terms: 0.00 + -100 = -100 -0.05x = -100 Divide each side by '-0.05'. x = 2000 Simplifying x = 2000
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