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Simplifying 5x + 10(x + 3) + 25(x + 5) = 435 Reorder the terms: 5x + 10(3 + x) + 25(x + 5) = 435 5x + (3 * 10 + x * 10) + 25(x + 5) = 435 5x + (30 + 10x) + 25(x + 5) = 435 Reorder the terms: 5x + 30 + 10x + 25(5 + x) = 435 5x + 30 + 10x + (5 * 25 + x * 25) = 435 5x + 30 + 10x + (125 + 25x) = 435 Reorder the terms: 30 + 125 + 5x + 10x + 25x = 435 Combine like terms: 30 + 125 = 155 155 + 5x + 10x + 25x = 435 Combine like terms: 5x + 10x = 15x 155 + 15x + 25x = 435 Combine like terms: 15x + 25x = 40x 155 + 40x = 435 Solving 155 + 40x = 435 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-155' to each side of the equation. 155 + -155 + 40x = 435 + -155 Combine like terms: 155 + -155 = 0 0 + 40x = 435 + -155 40x = 435 + -155 Combine like terms: 435 + -155 = 280 40x = 280 Divide each side by '40'. x = 7 Simplifying x = 7
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