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Simplifying 81 = 105 + -1(5 + x + 7.5) Reorder the terms: 81 = 105 + -1(5 + 7.5 + x) Combine like terms: 5 + 7.5 = 12.5 81 = 105 + -1(12.5 + x) 81 = 105 + (12.5 * -1 + x * -1) 81 = 105 + (-12.5 + -1x) Combine like terms: 105 + -12.5 = 92.5 81 = 92.5 + -1x Solving 81 = 92.5 + -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 + x = 92.5 + -1x + x Combine like terms: -1x + x = 0 81 + x = 92.5 + 0 81 + x = 92.5 Add '-81' to each side of the equation. 81 + -81 + x = 92.5 + -81 Combine like terms: 81 + -81 = 0 0 + x = 92.5 + -81 x = 92.5 + -81 Combine like terms: 92.5 + -81 = 11.5 x = 11.5 Simplifying x = 11.5
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