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Simplifying 75.50 = 110 + -1(x + 16 + 7.50) Reorder the terms: 75.50 = 110 + -1(16 + 7.50 + x) Combine like terms: 16 + 7.50 = 23.5 75.50 = 110 + -1(23.5 + x) 75.50 = 110 + (23.5 * -1 + x * -1) 75.50 = 110 + (-23.5 + -1x) Combine like terms: 110 + -23.5 = 86.5 75.50 = 86.5 + -1x Solving 75.50 = 86.5 + -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. 75.50 + x = 86.5 + -1x + x Combine like terms: -1x + x = 0 75.50 + x = 86.5 + 0 75.50 + x = 86.5 Add '-75.50' to each side of the equation. 75.50 + -75.50 + x = 86.5 + -75.50 Combine like terms: 75.50 + -75.50 = 0.00 0.00 + x = 86.5 + -75.50 x = 86.5 + -75.50 Combine like terms: 86.5 + -75.50 = 11 x = 11 Simplifying x = 11
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