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Simplifying 96.292 = -5.7 + 7.6(5.6x + 1.1) Reorder the terms: 96.292 = -5.7 + 7.6(1.1 + 5.6x) 96.292 = -5.7 + (1.1 * 7.6 + 5.6x * 7.6) 96.292 = -5.7 + (8.36 + 42.56x) Combine like terms: -5.7 + 8.36 = 2.66 96.292 = 2.66 + 42.56x Solving 96.292 = 2.66 + 42.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42.56x' to each side of the equation. 96.292 + -42.56x = 2.66 + 42.56x + -42.56x Combine like terms: 42.56x + -42.56x = 0.00 96.292 + -42.56x = 2.66 + 0.00 96.292 + -42.56x = 2.66 Add '-96.292' to each side of the equation. 96.292 + -96.292 + -42.56x = 2.66 + -96.292 Combine like terms: 96.292 + -96.292 = 0.000 0.000 + -42.56x = 2.66 + -96.292 -42.56x = 2.66 + -96.292 Combine like terms: 2.66 + -96.292 = -93.632 -42.56x = -93.632 Divide each side by '-42.56'. x = 2.2 Simplifying x = 2.2
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