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Simplifying 1000 + -2x = 0.5x Solving 1000 + -2x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1000 + -2x + -0.5x = 0.5x + -0.5x Combine like terms: -2x + -0.5x = -2.5x 1000 + -2.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1000 + -2.5x = 0.0 Add '-1000' to each side of the equation. 1000 + -1000 + -2.5x = 0.0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -2.5x = 0.0 + -1000 -2.5x = 0.0 + -1000 Combine like terms: 0.0 + -1000 = -1000 -2.5x = -1000 Divide each side by '-2.5'. x = 400 Simplifying x = 400
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