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Simplifying 81.00 = 150 + -1(5.00 + x + 7.50) Reorder the terms: 81.00 = 150 + -1(5.00 + 7.50 + x) Combine like terms: 5.00 + 7.50 = 12.5 81.00 = 150 + -1(12.5 + x) 81.00 = 150 + (12.5 * -1 + x * -1) 81.00 = 150 + (-12.5 + -1x) Combine like terms: 150 + -12.5 = 137.5 81.00 = 137.5 + -1x Solving 81.00 = 137.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 81.00 + x = 137.5 + -1x + x Combine like terms: -1x + x = 0 81.00 + x = 137.5 + 0 81.00 + x = 137.5 Add '-81.00' to each side of the equation. 81.00 + -81.00 + x = 137.5 + -81.00 Combine like terms: 81.00 + -81.00 = 0.00 0.00 + x = 137.5 + -81.00 x = 137.5 + -81.00 Combine like terms: 137.5 + -81.00 = 56.5 x = 56.5 Simplifying x = 56.5
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