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Simplifying 20 + 0.45x = 35 + 0.40x Solving 20 + 0.45x = 35 + 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. 20 + 0.45x + -0.40x = 35 + 0.40x + -0.40x Combine like terms: 0.45x + -0.40x = 0.05x 20 + 0.05x = 35 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 20 + 0.05x = 35 + 0.00 20 + 0.05x = 35 Add '-20' to each side of the equation. 20 + -20 + 0.05x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 0.05x = 35 + -20 0.05x = 35 + -20 Combine like terms: 35 + -20 = 15 0.05x = 15 Divide each side by '0.05'. x = 300 Simplifying x = 300
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