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Simplifying -4.5x + 5.8 = 4.6x + -3.3 Reorder the terms: 5.8 + -4.5x = 4.6x + -3.3 Reorder the terms: 5.8 + -4.5x = -3.3 + 4.6x Solving 5.8 + -4.5x = -3.3 + 4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6x' to each side of the equation. 5.8 + -4.5x + -4.6x = -3.3 + 4.6x + -4.6x Combine like terms: -4.5x + -4.6x = -9.1x 5.8 + -9.1x = -3.3 + 4.6x + -4.6x Combine like terms: 4.6x + -4.6x = 0.0 5.8 + -9.1x = -3.3 + 0.0 5.8 + -9.1x = -3.3 Add '-5.8' to each side of the equation. 5.8 + -5.8 + -9.1x = -3.3 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -9.1x = -3.3 + -5.8 -9.1x = -3.3 + -5.8 Combine like terms: -3.3 + -5.8 = -9.1 -9.1x = -9.1 Divide each side by '-9.1'. x = 1 Simplifying x = 1
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