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Simplifying -0.8x + 5.4 = 0.3x + 3.2 Reorder the terms: 5.4 + -0.8x = 0.3x + 3.2 Reorder the terms: 5.4 + -0.8x = 3.2 + 0.3x Solving 5.4 + -0.8x = 3.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 5.4 + -0.8x + -0.3x = 3.2 + 0.3x + -0.3x Combine like terms: -0.8x + -0.3x = -1.1x 5.4 + -1.1x = 3.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 5.4 + -1.1x = 3.2 + 0.0 5.4 + -1.1x = 3.2 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -1.1x = 3.2 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.1x = 3.2 + -5.4 -1.1x = 3.2 + -5.4 Combine like terms: 3.2 + -5.4 = -2.2 -1.1x = -2.2 Divide each side by '-1.1'. x = 2 Simplifying x = 2
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