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Simplifying 1000 = 10x + -1(5x + 5000) Reorder the terms: 1000 = 10x + -1(5000 + 5x) 1000 = 10x + (5000 * -1 + 5x * -1) 1000 = 10x + (-5000 + -5x) Reorder the terms: 1000 = -5000 + 10x + -5x Combine like terms: 10x + -5x = 5x 1000 = -5000 + 5x Solving 1000 = -5000 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1000 + -5x = -5000 + 5x + -5x Combine like terms: 5x + -5x = 0 1000 + -5x = -5000 + 0 1000 + -5x = -5000 Add '-1000' to each side of the equation. 1000 + -1000 + -5x = -5000 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -5x = -5000 + -1000 -5x = -5000 + -1000 Combine like terms: -5000 + -1000 = -6000 -5x = -6000 Divide each side by '-5'. x = 1200 Simplifying x = 1200
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