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Simplifying 5x + 10(2000 + -1x) = 45x 5x + (2000 * 10 + -1x * 10) = 45x 5x + (20000 + -10x) = 45x Reorder the terms: 20000 + 5x + -10x = 45x Combine like terms: 5x + -10x = -5x 20000 + -5x = 45x Solving 20000 + -5x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 20000 + -5x + -45x = 45x + -45x Combine like terms: -5x + -45x = -50x 20000 + -50x = 45x + -45x Combine like terms: 45x + -45x = 0 20000 + -50x = 0 Add '-20000' to each side of the equation. 20000 + -20000 + -50x = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + -50x = 0 + -20000 -50x = 0 + -20000 Combine like terms: 0 + -20000 = -20000 -50x = -20000 Divide each side by '-50'. x = 400 Simplifying x = 400
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