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Simplifying 100x + 180 = 90x + 270 Reorder the terms: 180 + 100x = 90x + 270 Reorder the terms: 180 + 100x = 270 + 90x Solving 180 + 100x = 270 + 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. 180 + 100x + -90x = 270 + 90x + -90x Combine like terms: 100x + -90x = 10x 180 + 10x = 270 + 90x + -90x Combine like terms: 90x + -90x = 0 180 + 10x = 270 + 0 180 + 10x = 270 Add '-180' to each side of the equation. 180 + -180 + 10x = 270 + -180 Combine like terms: 180 + -180 = 0 0 + 10x = 270 + -180 10x = 270 + -180 Combine like terms: 270 + -180 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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