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Simplifying 0.3x + -5.45 = 0.2x + 2.6 Reorder the terms: -5.45 + 0.3x = 0.2x + 2.6 Reorder the terms: -5.45 + 0.3x = 2.6 + 0.2x Solving -5.45 + 0.3x = 2.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -5.45 + 0.3x + -0.2x = 2.6 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x -5.45 + 0.1x = 2.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -5.45 + 0.1x = 2.6 + 0.0 -5.45 + 0.1x = 2.6 Add '5.45' to each side of the equation. -5.45 + 5.45 + 0.1x = 2.6 + 5.45 Combine like terms: -5.45 + 5.45 = 0.00 0.00 + 0.1x = 2.6 + 5.45 0.1x = 2.6 + 5.45 Combine like terms: 2.6 + 5.45 = 8.05 0.1x = 8.05 Divide each side by '0.1'. x = 80.5 Simplifying x = 80.5
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