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Simplifying 5x + 10(x + 11) + 25(x + 4) = 730 Reorder the terms: 5x + 10(11 + x) + 25(x + 4) = 730 5x + (11 * 10 + x * 10) + 25(x + 4) = 730 5x + (110 + 10x) + 25(x + 4) = 730 Reorder the terms: 5x + 110 + 10x + 25(4 + x) = 730 5x + 110 + 10x + (4 * 25 + x * 25) = 730 5x + 110 + 10x + (100 + 25x) = 730 Reorder the terms: 110 + 100 + 5x + 10x + 25x = 730 Combine like terms: 110 + 100 = 210 210 + 5x + 10x + 25x = 730 Combine like terms: 5x + 10x = 15x 210 + 15x + 25x = 730 Combine like terms: 15x + 25x = 40x 210 + 40x = 730 Solving 210 + 40x = 730 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + 40x = 730 + -210 Combine like terms: 210 + -210 = 0 0 + 40x = 730 + -210 40x = 730 + -210 Combine like terms: 730 + -210 = 520 40x = 520 Divide each side by '40'. x = 13 Simplifying x = 13
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