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Simplifying 0.90(x + 100) + 0.90x = 171 Reorder the terms: 0.90(100 + x) + 0.90x = 171 (100 * 0.90 + x * 0.90) + 0.90x = 171 (90 + 0.90x) + 0.90x = 171 Combine like terms: 0.90x + 0.90x = 1.8x 90 + 1.8x = 171 Solving 90 + 1.8x = 171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 1.8x = 171 + -90 Combine like terms: 90 + -90 = 0 0 + 1.8x = 171 + -90 1.8x = 171 + -90 Combine like terms: 171 + -90 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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