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Simplifying 500x + -0.53 = 700x + 0.65 Reorder the terms: -0.53 + 500x = 700x + 0.65 Reorder the terms: -0.53 + 500x = 0.65 + 700x Solving -0.53 + 500x = 0.65 + 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. -0.53 + 500x + -700x = 0.65 + 700x + -700x Combine like terms: 500x + -700x = -200x -0.53 + -200x = 0.65 + 700x + -700x Combine like terms: 700x + -700x = 0 -0.53 + -200x = 0.65 + 0 -0.53 + -200x = 0.65 Add '0.53' to each side of the equation. -0.53 + 0.53 + -200x = 0.65 + 0.53 Combine like terms: -0.53 + 0.53 = 0.00 0.00 + -200x = 0.65 + 0.53 -200x = 0.65 + 0.53 Combine like terms: 0.65 + 0.53 = 1.18 -200x = 1.18 Divide each side by '-200'. x = -0.0059 Simplifying x = -0.0059
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