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Simplifying 71 = 120 + -1(15 + x + 7.5) Reorder the terms: 71 = 120 + -1(15 + 7.5 + x) Combine like terms: 15 + 7.5 = 22.5 71 = 120 + -1(22.5 + x) 71 = 120 + (22.5 * -1 + x * -1) 71 = 120 + (-22.5 + -1x) Combine like terms: 120 + -22.5 = 97.5 71 = 97.5 + -1x Solving 71 = 97.5 + -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. 71 + x = 97.5 + -1x + x Combine like terms: -1x + x = 0 71 + x = 97.5 + 0 71 + x = 97.5 Add '-71' to each side of the equation. 71 + -71 + x = 97.5 + -71 Combine like terms: 71 + -71 = 0 0 + x = 97.5 + -71 x = 97.5 + -71 Combine like terms: 97.5 + -71 = 26.5 x = 26.5 Simplifying x = 26.5
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