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Simplifying 1000 = 2x + 0.5y Solving 1000 = 2x + 0.5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1000 + -2x = 2x + -2x + 0.5y Combine like terms: 2x + -2x = 0 1000 + -2x = 0 + 0.5y 1000 + -2x = 0.5y Add '-1000' to each side of the equation. 1000 + -1000 + -2x = -1000 + 0.5y Combine like terms: 1000 + -1000 = 0 0 + -2x = -1000 + 0.5y -2x = -1000 + 0.5y Divide each side by '-2'. x = 500 + -0.25y Simplifying x = 500 + -0.25y
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