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Simplifying 5.4 + 0.2x = -1.4x + 8.6 Reorder the terms: 5.4 + 0.2x = 8.6 + -1.4x Solving 5.4 + 0.2x = 8.6 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 5.4 + 0.2x + 1.4x = 8.6 + -1.4x + 1.4x Combine like terms: 0.2x + 1.4x = 1.6x 5.4 + 1.6x = 8.6 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 5.4 + 1.6x = 8.6 + 0.0 5.4 + 1.6x = 8.6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 1.6x = 8.6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 1.6x = 8.6 + -5.4 1.6x = 8.6 + -5.4 Combine like terms: 8.6 + -5.4 = 3.2 1.6x = 3.2 Divide each side by '1.6'. x = 2 Simplifying x = 2
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