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Simplifying -5.7x + 5.1 = -5.2x + 0.1 Reorder the terms: 5.1 + -5.7x = -5.2x + 0.1 Reorder the terms: 5.1 + -5.7x = 0.1 + -5.2x Solving 5.1 + -5.7x = 0.1 + -5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.2x' to each side of the equation. 5.1 + -5.7x + 5.2x = 0.1 + -5.2x + 5.2x Combine like terms: -5.7x + 5.2x = -0.5x 5.1 + -0.5x = 0.1 + -5.2x + 5.2x Combine like terms: -5.2x + 5.2x = 0.0 5.1 + -0.5x = 0.1 + 0.0 5.1 + -0.5x = 0.1 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -0.5x = 0.1 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -0.5x = 0.1 + -5.1 -0.5x = 0.1 + -5.1 Combine like terms: 0.1 + -5.1 = -5 -0.5x = -5 Divide each side by '-0.5'. x = 10 Simplifying x = 10
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