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Simplifying 97.3608 = -0.5 + 6.2(1 + -1.92x) 97.3608 = -0.5 + (1 * 6.2 + -1.92x * 6.2) 97.3608 = -0.5 + (6.2 + -11.904x) Combine like terms: -0.5 + 6.2 = 5.7 97.3608 = 5.7 + -11.904x Solving 97.3608 = 5.7 + -11.904x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.904x' to each side of the equation. 97.3608 + 11.904x = 5.7 + -11.904x + 11.904x Combine like terms: -11.904x + 11.904x = 0.000 97.3608 + 11.904x = 5.7 + 0.000 97.3608 + 11.904x = 5.7 Add '-97.3608' to each side of the equation. 97.3608 + -97.3608 + 11.904x = 5.7 + -97.3608 Combine like terms: 97.3608 + -97.3608 = 0.0000 0.0000 + 11.904x = 5.7 + -97.3608 11.904x = 5.7 + -97.3608 Combine like terms: 5.7 + -97.3608 = -91.6608 11.904x = -91.6608 Divide each side by '11.904'. x = -7.7 Simplifying x = -7.7
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