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Simplifying 5x + 10(x + 4) + 25(x + 9) = 465 Reorder the terms: 5x + 10(4 + x) + 25(x + 9) = 465 5x + (4 * 10 + x * 10) + 25(x + 9) = 465 5x + (40 + 10x) + 25(x + 9) = 465 Reorder the terms: 5x + 40 + 10x + 25(9 + x) = 465 5x + 40 + 10x + (9 * 25 + x * 25) = 465 5x + 40 + 10x + (225 + 25x) = 465 Reorder the terms: 40 + 225 + 5x + 10x + 25x = 465 Combine like terms: 40 + 225 = 265 265 + 5x + 10x + 25x = 465 Combine like terms: 5x + 10x = 15x 265 + 15x + 25x = 465 Combine like terms: 15x + 25x = 40x 265 + 40x = 465 Solving 265 + 40x = 465 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-265' to each side of the equation. 265 + -265 + 40x = 465 + -265 Combine like terms: 265 + -265 = 0 0 + 40x = 465 + -265 40x = 465 + -265 Combine like terms: 465 + -265 = 200 40x = 200 Divide each side by '40'. x = 5 Simplifying x = 5
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