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Simplifying 4.7x + -3.1 = 8.2 + 5.1x Reorder the terms: -3.1 + 4.7x = 8.2 + 5.1x Solving -3.1 + 4.7x = 8.2 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. -3.1 + 4.7x + -5.1x = 8.2 + 5.1x + -5.1x Combine like terms: 4.7x + -5.1x = -0.4x -3.1 + -0.4x = 8.2 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 -3.1 + -0.4x = 8.2 + 0.0 -3.1 + -0.4x = 8.2 Add '3.1' to each side of the equation. -3.1 + 3.1 + -0.4x = 8.2 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -0.4x = 8.2 + 3.1 -0.4x = 8.2 + 3.1 Combine like terms: 8.2 + 3.1 = 11.3 -0.4x = 11.3 Divide each side by '-0.4'. x = -28.25 Simplifying x = -28.25
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