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Simplifying 26.5 = -5 + 9.5(x + 5.5) Reorder the terms: 26.5 = -5 + 9.5(5.5 + x) 26.5 = -5 + (5.5 * 9.5 + x * 9.5) 26.5 = -5 + (52.25 + 9.5x) Combine like terms: -5 + 52.25 = 47.25 26.5 = 47.25 + 9.5x Solving 26.5 = 47.25 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 26.5 + -9.5x = 47.25 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 26.5 + -9.5x = 47.25 + 0.0 26.5 + -9.5x = 47.25 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -9.5x = 47.25 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -9.5x = 47.25 + -26.5 -9.5x = 47.25 + -26.5 Combine like terms: 47.25 + -26.5 = 20.75 -9.5x = 20.75 Divide each side by '-9.5'. x = -2.184210526 Simplifying x = -2.184210526
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