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Simplifying 2.5x + 0.5(6 + -1x) = 27 2.5x + (6 * 0.5 + -1x * 0.5) = 27 2.5x + (3 + -0.5x) = 27 Reorder the terms: 3 + 2.5x + -0.5x = 27 Combine like terms: 2.5x + -0.5x = 2x 3 + 2x = 27 Solving 3 + 2x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 27 + -3 2x = 27 + -3 Combine like terms: 27 + -3 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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