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Simplifying 8.1x + 2.3 = 5.1x + -3.1 Reorder the terms: 2.3 + 8.1x = 5.1x + -3.1 Reorder the terms: 2.3 + 8.1x = -3.1 + 5.1x Solving 2.3 + 8.1x = -3.1 + 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. 2.3 + 8.1x + -5.1x = -3.1 + 5.1x + -5.1x Combine like terms: 8.1x + -5.1x = 3x 2.3 + 3x = -3.1 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 2.3 + 3x = -3.1 + 0.0 2.3 + 3x = -3.1 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 3x = -3.1 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 3x = -3.1 + -2.3 3x = -3.1 + -2.3 Combine like terms: -3.1 + -2.3 = -5.4 3x = -5.4 Divide each side by '3'. x = -1.8 Simplifying x = -1.8
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