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Simplifying -5x + 1000 = 1005 + 5x Reorder the terms: 1000 + -5x = 1005 + 5x Solving 1000 + -5x = 1005 + 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 + -5x = 1005 + 5x + -5x Combine like terms: -5x + -5x = -10x 1000 + -10x = 1005 + 5x + -5x Combine like terms: 5x + -5x = 0 1000 + -10x = 1005 + 0 1000 + -10x = 1005 Add '-1000' to each side of the equation. 1000 + -1000 + -10x = 1005 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -10x = 1005 + -1000 -10x = 1005 + -1000 Combine like terms: 1005 + -1000 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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