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Simplifying (10 + x) * 10 = (11 + 9) * 9 Reorder the terms for easier multiplication: 10(10 + x) = (11 + 9) * 9 (10 * 10 + x * 10) = (11 + 9) * 9 (100 + 10x) = (11 + 9) * 9 Combine like terms: 11 + 9 = 20 100 + 10x = (20) * 9 Multiply 20 * 9 100 + 10x = 180 Solving 100 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 10x = 180 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 180 + -100 10x = 180 + -100 Combine like terms: 180 + -100 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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