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Simplifying -0.8x + 5.46 = -0.3x + 8.96 Reorder the terms: 5.46 + -0.8x = -0.3x + 8.96 Reorder the terms: 5.46 + -0.8x = 8.96 + -0.3x Solving 5.46 + -0.8x = 8.96 + -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. 5.46 + -0.8x + 0.3x = 8.96 + -0.3x + 0.3x Combine like terms: -0.8x + 0.3x = -0.5x 5.46 + -0.5x = 8.96 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 5.46 + -0.5x = 8.96 + 0.0 5.46 + -0.5x = 8.96 Add '-5.46' to each side of the equation. 5.46 + -5.46 + -0.5x = 8.96 + -5.46 Combine like terms: 5.46 + -5.46 = 0.00 0.00 + -0.5x = 8.96 + -5.46 -0.5x = 8.96 + -5.46 Combine like terms: 8.96 + -5.46 = 3.5 -0.5x = 3.5 Divide each side by '-0.5'. x = -7 Simplifying x = -7
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