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Simplifying 20.5 = 0.5(27 + 6x + -1) Reorder the terms: 20.5 = 0.5(27 + -1 + 6x) Combine like terms: 27 + -1 = 26 20.5 = 0.5(26 + 6x) 20.5 = (26 * 0.5 + 6x * 0.5) 20.5 = (13 + 3x) Solving 20.5 = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20.5 + -3x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 20.5 + -3x = 13 + 0 20.5 + -3x = 13 Add '-20.5' to each side of the equation. 20.5 + -20.5 + -3x = 13 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -3x = 13 + -20.5 -3x = 13 + -20.5 Combine like terms: 13 + -20.5 = -7.5 -3x = -7.5 Divide each side by '-3'. x = 2.5 Simplifying x = 2.5
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