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Simplifying 671.5 = 174.5 + 35.5(x + -1) Reorder the terms: 671.5 = 174.5 + 35.5(-1 + x) 671.5 = 174.5 + (-1 * 35.5 + x * 35.5) 671.5 = 174.5 + (-35.5 + 35.5x) Combine like terms: 174.5 + -35.5 = 139 671.5 = 139 + 35.5x Solving 671.5 = 139 + 35.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35.5x' to each side of the equation. 671.5 + -35.5x = 139 + 35.5x + -35.5x Combine like terms: 35.5x + -35.5x = 0.0 671.5 + -35.5x = 139 + 0.0 671.5 + -35.5x = 139 Add '-671.5' to each side of the equation. 671.5 + -671.5 + -35.5x = 139 + -671.5 Combine like terms: 671.5 + -671.5 = 0.0 0.0 + -35.5x = 139 + -671.5 -35.5x = 139 + -671.5 Combine like terms: 139 + -671.5 = -532.5 -35.5x = -532.5 Divide each side by '-35.5'. x = 15 Simplifying x = 15
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