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Simplifying 120x = 90(x + 100) Reorder the terms: 120x = 90(100 + x) 120x = (100 * 90 + x * 90) 120x = (9000 + 90x) Solving 120x = 9000 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 120x + -90x = 9000 + 90x + -90x Combine like terms: 120x + -90x = 30x 30x = 9000 + 90x + -90x Combine like terms: 90x + -90x = 0 30x = 9000 + 0 30x = 9000 Divide each side by '30'. x = 300 Simplifying x = 300
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