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Simplifying 5x + 10(x + 14) + 25(x + 9) = 885 Reorder the terms: 5x + 10(14 + x) + 25(x + 9) = 885 5x + (14 * 10 + x * 10) + 25(x + 9) = 885 5x + (140 + 10x) + 25(x + 9) = 885 Reorder the terms: 5x + 140 + 10x + 25(9 + x) = 885 5x + 140 + 10x + (9 * 25 + x * 25) = 885 5x + 140 + 10x + (225 + 25x) = 885 Reorder the terms: 140 + 225 + 5x + 10x + 25x = 885 Combine like terms: 140 + 225 = 365 365 + 5x + 10x + 25x = 885 Combine like terms: 5x + 10x = 15x 365 + 15x + 25x = 885 Combine like terms: 15x + 25x = 40x 365 + 40x = 885 Solving 365 + 40x = 885 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-365' to each side of the equation. 365 + -365 + 40x = 885 + -365 Combine like terms: 365 + -365 = 0 0 + 40x = 885 + -365 40x = 885 + -365 Combine like terms: 885 + -365 = 520 40x = 520 Divide each side by '40'. x = 13 Simplifying x = 13
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