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Simplifying 500x + -0.64 = 700x + 0.42 Reorder the terms: -0.64 + 500x = 700x + 0.42 Reorder the terms: -0.64 + 500x = 0.42 + 700x Solving -0.64 + 500x = 0.42 + 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. -0.64 + 500x + -700x = 0.42 + 700x + -700x Combine like terms: 500x + -700x = -200x -0.64 + -200x = 0.42 + 700x + -700x Combine like terms: 700x + -700x = 0 -0.64 + -200x = 0.42 + 0 -0.64 + -200x = 0.42 Add '0.64' to each side of the equation. -0.64 + 0.64 + -200x = 0.42 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + -200x = 0.42 + 0.64 -200x = 0.42 + 0.64 Combine like terms: 0.42 + 0.64 = 1.06 -200x = 1.06 Divide each side by '-200'. x = -0.0053 Simplifying x = -0.0053
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