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Simplifying 5x + 10(x + 5) + 25(x + 12) = 830 Reorder the terms: 5x + 10(5 + x) + 25(x + 12) = 830 5x + (5 * 10 + x * 10) + 25(x + 12) = 830 5x + (50 + 10x) + 25(x + 12) = 830 Reorder the terms: 5x + 50 + 10x + 25(12 + x) = 830 5x + 50 + 10x + (12 * 25 + x * 25) = 830 5x + 50 + 10x + (300 + 25x) = 830 Reorder the terms: 50 + 300 + 5x + 10x + 25x = 830 Combine like terms: 50 + 300 = 350 350 + 5x + 10x + 25x = 830 Combine like terms: 5x + 10x = 15x 350 + 15x + 25x = 830 Combine like terms: 15x + 25x = 40x 350 + 40x = 830 Solving 350 + 40x = 830 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-350' to each side of the equation. 350 + -350 + 40x = 830 + -350 Combine like terms: 350 + -350 = 0 0 + 40x = 830 + -350 40x = 830 + -350 Combine like terms: 830 + -350 = 480 40x = 480 Divide each side by '40'. x = 12 Simplifying x = 12
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