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Simplifying 20.5 = 16.5x + 29.5(x + -1) Reorder the terms: 20.5 = 16.5x + 29.5(-1 + x) 20.5 = 16.5x + (-1 * 29.5 + x * 29.5) 20.5 = 16.5x + (-29.5 + 29.5x) Reorder the terms: 20.5 = -29.5 + 16.5x + 29.5x Combine like terms: 16.5x + 29.5x = 46x 20.5 = -29.5 + 46x Solving 20.5 = -29.5 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 20.5 + -46x = -29.5 + 46x + -46x Combine like terms: 46x + -46x = 0 20.5 + -46x = -29.5 + 0 20.5 + -46x = -29.5 Add '-20.5' to each side of the equation. 20.5 + -20.5 + -46x = -29.5 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -46x = -29.5 + -20.5 -46x = -29.5 + -20.5 Combine like terms: -29.5 + -20.5 = -50 -46x = -50 Divide each side by '-46'. x = 1.086956522 Simplifying x = 1.086956522
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