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Simplifying 0.57x + -0.08 = -0.10x + 5.28 Reorder the terms: -0.08 + 0.57x = -0.10x + 5.28 Reorder the terms: -0.08 + 0.57x = 5.28 + -0.10x Solving -0.08 + 0.57x = 5.28 + -0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.10x' to each side of the equation. -0.08 + 0.57x + 0.10x = 5.28 + -0.10x + 0.10x Combine like terms: 0.57x + 0.10x = 0.67x -0.08 + 0.67x = 5.28 + -0.10x + 0.10x Combine like terms: -0.10x + 0.10x = 0.00 -0.08 + 0.67x = 5.28 + 0.00 -0.08 + 0.67x = 5.28 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.67x = 5.28 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.67x = 5.28 + 0.08 0.67x = 5.28 + 0.08 Combine like terms: 5.28 + 0.08 = 5.36 0.67x = 5.36 Divide each side by '0.67'. x = 8 Simplifying x = 8
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