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Simplifying 500x + -0.38 = 700x + 0.12 Reorder the terms: -0.38 + 500x = 700x + 0.12 Reorder the terms: -0.38 + 500x = 0.12 + 700x Solving -0.38 + 500x = 0.12 + 700x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-700x' to each side of the equation. -0.38 + 500x + -700x = 0.12 + 700x + -700x Combine like terms: 500x + -700x = -200x -0.38 + -200x = 0.12 + 700x + -700x Combine like terms: 700x + -700x = 0 -0.38 + -200x = 0.12 + 0 -0.38 + -200x = 0.12 Add '0.38' to each side of the equation. -0.38 + 0.38 + -200x = 0.12 + 0.38 Combine like terms: -0.38 + 0.38 = 0.00 0.00 + -200x = 0.12 + 0.38 -200x = 0.12 + 0.38 Combine like terms: 0.12 + 0.38 = 0.5 -200x = 0.5 Divide each side by '-200'. x = -0.0025 Simplifying x = -0.0025
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