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Simplifying 200 + (40x) = 500 + (10x) Solving 200 + (40x) = 500 + (10x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-10x)' to each side of the equation. 200 + (40x) + (-10x) = 500 + (10x) + (-10x) Combine like terms: (40x) + (-10x) = 30x 200 + 30x = 500 + (10x) + (-10x) Combine like terms: (10x) + (-10x) = 0 200 + 30x = 500 + 0 200 + 30x = 500 Add '-200' to each side of the equation. 200 + -200 + 30x = 500 + -200 Combine like terms: 200 + -200 = 0 0 + 30x = 500 + -200 30x = 500 + -200 Combine like terms: 500 + -200 = 300 30x = 300 Divide each side by '30'. x = 10 Simplifying x = 10
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