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Simplifying 96 + -4.5x + -3.2x = 5.6x + 42.8 Combine like terms: -4.5x + -3.2x = -7.7x 96 + -7.7x = 5.6x + 42.8 Reorder the terms: 96 + -7.7x = 42.8 + 5.6x Solving 96 + -7.7x = 42.8 + 5.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6x' to each side of the equation. 96 + -7.7x + -5.6x = 42.8 + 5.6x + -5.6x Combine like terms: -7.7x + -5.6x = -13.3x 96 + -13.3x = 42.8 + 5.6x + -5.6x Combine like terms: 5.6x + -5.6x = 0.0 96 + -13.3x = 42.8 + 0.0 96 + -13.3x = 42.8 Add '-96' to each side of the equation. 96 + -96 + -13.3x = 42.8 + -96 Combine like terms: 96 + -96 = 0 0 + -13.3x = 42.8 + -96 -13.3x = 42.8 + -96 Combine like terms: 42.8 + -96 = -53.2 -13.3x = -53.2 Divide each side by '-13.3'. x = 4 Simplifying x = 4
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