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Simplifying 2.2x + 43.1 = 5.9 + -10.2x Reorder the terms: 43.1 + 2.2x = 5.9 + -10.2x Solving 43.1 + 2.2x = 5.9 + -10.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.2x' to each side of the equation. 43.1 + 2.2x + 10.2x = 5.9 + -10.2x + 10.2x Combine like terms: 2.2x + 10.2x = 12.4x 43.1 + 12.4x = 5.9 + -10.2x + 10.2x Combine like terms: -10.2x + 10.2x = 0.0 43.1 + 12.4x = 5.9 + 0.0 43.1 + 12.4x = 5.9 Add '-43.1' to each side of the equation. 43.1 + -43.1 + 12.4x = 5.9 + -43.1 Combine like terms: 43.1 + -43.1 = 0.0 0.0 + 12.4x = 5.9 + -43.1 12.4x = 5.9 + -43.1 Combine like terms: 5.9 + -43.1 = -37.2 12.4x = -37.2 Divide each side by '12.4'. x = -3 Simplifying x = -3
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