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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 = -1.2x 5.4 + -1.2x = 8.6 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 5.4 + -1.2x = 8.6 + 0.0 5.4 + -1.2x = 8.6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -1.2x = 8.6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.2x = 8.6 + -5.4 -1.2x = 8.6 + -5.4 Combine like terms: 8.6 + -5.4 = 3.2 -1.2x = 3.2 Divide each side by '-1.2'. x = -2.666666667 Simplifying x = -2.666666667
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