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Simplifying 200 + 10(x) = 100 + 30(x) Solving 200 + 10x = 100 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 200 + 10x + -30x = 100 + 30x + -30x Combine like terms: 10x + -30x = -20x 200 + -20x = 100 + 30x + -30x Combine like terms: 30x + -30x = 0 200 + -20x = 100 + 0 200 + -20x = 100 Add '-200' to each side of the equation. 200 + -200 + -20x = 100 + -200 Combine like terms: 200 + -200 = 0 0 + -20x = 100 + -200 -20x = 100 + -200 Combine like terms: 100 + -200 = -100 -20x = -100 Divide each side by '-20'. x = 5 Simplifying x = 5
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