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Simplifying 100 + 200x = 600 + -100x Solving 100 + 200x = 600 + -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. 100 + 200x + 100x = 600 + -100x + 100x Combine like terms: 200x + 100x = 300x 100 + 300x = 600 + -100x + 100x Combine like terms: -100x + 100x = 0 100 + 300x = 600 + 0 100 + 300x = 600 Add '-100' to each side of the equation. 100 + -100 + 300x = 600 + -100 Combine like terms: 100 + -100 = 0 0 + 300x = 600 + -100 300x = 600 + -100 Combine like terms: 600 + -100 = 500 300x = 500 Divide each side by '300'. x = 1.666666667 Simplifying x = 1.666666667
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