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Simplifying 600x + 500 = 1000x + 300 Reorder the terms: 500 + 600x = 1000x + 300 Reorder the terms: 500 + 600x = 300 + 1000x Solving 500 + 600x = 300 + 1000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000x' to each side of the equation. 500 + 600x + -1000x = 300 + 1000x + -1000x Combine like terms: 600x + -1000x = -400x 500 + -400x = 300 + 1000x + -1000x Combine like terms: 1000x + -1000x = 0 500 + -400x = 300 + 0 500 + -400x = 300 Add '-500' to each side of the equation. 500 + -500 + -400x = 300 + -500 Combine like terms: 500 + -500 = 0 0 + -400x = 300 + -500 -400x = 300 + -500 Combine like terms: 300 + -500 = -200 -400x = -200 Divide each side by '-400'. x = 0.5 Simplifying x = 0.5
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