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Simplifying 0.90(x + 100) + 0.50x = 139 Reorder the terms: 0.90(100 + x) + 0.50x = 139 (100 * 0.90 + x * 0.90) + 0.50x = 139 (90 + 0.90x) + 0.50x = 139 Combine like terms: 0.90x + 0.50x = 1.4x 90 + 1.4x = 139 Solving 90 + 1.4x = 139 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 + 1.4x = 139 + -90 Combine like terms: 90 + -90 = 0 0 + 1.4x = 139 + -90 1.4x = 139 + -90 Combine like terms: 139 + -90 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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