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Simplifying 0.90(x + 10) + 0.90x = 90 Reorder the terms: 0.90(10 + x) + 0.90x = 90 (10 * 0.90 + x * 0.90) + 0.90x = 90 (9 + 0.90x) + 0.90x = 90 Combine like terms: 0.90x + 0.90x = 1.8x 9 + 1.8x = 90 Solving 9 + 1.8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1.8x = 90 + -9 Combine like terms: 9 + -9 = 0 0 + 1.8x = 90 + -9 1.8x = 90 + -9 Combine like terms: 90 + -9 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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