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Simplifying 50x + 19(20 + x) + 30(2(20 + x)) = 3256 50x + (20 * 19 + x * 19) + 30(2(20 + x)) = 3256 50x + (380 + 19x) + 30(2(20 + x)) = 3256 50x + 380 + 19x + 30((20 * 2 + x * 2)) = 3256 50x + 380 + 19x + 30((40 + 2x)) = 3256 50x + 380 + 19x + (40 * 30 + 2x * 30) = 3256 50x + 380 + 19x + (1200 + 60x) = 3256 Reorder the terms: 380 + 1200 + 50x + 19x + 60x = 3256 Combine like terms: 380 + 1200 = 1580 1580 + 50x + 19x + 60x = 3256 Combine like terms: 50x + 19x = 69x 1580 + 69x + 60x = 3256 Combine like terms: 69x + 60x = 129x 1580 + 129x = 3256 Solving 1580 + 129x = 3256 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1580' to each side of the equation. 1580 + -1580 + 129x = 3256 + -1580 Combine like terms: 1580 + -1580 = 0 0 + 129x = 3256 + -1580 129x = 3256 + -1580 Combine like terms: 3256 + -1580 = 1676 129x = 1676 Divide each side by '129'. x = 12.99224806 Simplifying x = 12.99224806
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