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Simplifying 20.5 = 16.5x + 29.5(1 + -1x) 20.5 = 16.5x + (1 * 29.5 + -1x * 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 = -13x 20.5 = 29.5 + -13x Solving 20.5 = 29.5 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 20.5 + 13x = 29.5 + -13x + 13x Combine like terms: -13x + 13x = 0 20.5 + 13x = 29.5 + 0 20.5 + 13x = 29.5 Add '-20.5' to each side of the equation. 20.5 + -20.5 + 13x = 29.5 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 13x = 29.5 + -20.5 13x = 29.5 + -20.5 Combine like terms: 29.5 + -20.5 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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