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Simplifying 10(x) + 25(40 + -1x) = 490 10x + (40 * 25 + -1x * 25) = 490 10x + (1000 + -25x) = 490 Reorder the terms: 1000 + 10x + -25x = 490 Combine like terms: 10x + -25x = -15x 1000 + -15x = 490 Solving 1000 + -15x = 490 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -15x = 490 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -15x = 490 + -1000 -15x = 490 + -1000 Combine like terms: 490 + -1000 = -510 -15x = -510 Divide each side by '-15'. x = 34 Simplifying x = 34
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