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Simplifying 40 + 0.45x = 45 + 0.40x Solving 40 + 0.45x = 45 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 40 + 0.45x + -0.40x = 45 + 0.40x + -0.40x Combine like terms: 0.45x + -0.40x = 0.05x 40 + 0.05x = 45 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 40 + 0.05x = 45 + 0.00 40 + 0.05x = 45 Add '-40' to each side of the equation. 40 + -40 + 0.05x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 0.05x = 45 + -40 0.05x = 45 + -40 Combine like terms: 45 + -40 = 5 0.05x = 5 Divide each side by '0.05'. x = 100 Simplifying x = 100
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