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Simplifying 6(1x + 2.5) = 1(5.5x + 25) Reorder the terms: 6(2.5 + 1x) = 1(5.5x + 25) (2.5 * 6 + 1x * 6) = 1(5.5x + 25) (15 + 6x) = 1(5.5x + 25) Reorder the terms: 15 + 6x = 1(25 + 5.5x) 15 + 6x = (25 * 1 + 5.5x * 1) 15 + 6x = (25 + 5.5x) Solving 15 + 6x = 25 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 15 + 6x + -5.5x = 25 + 5.5x + -5.5x Combine like terms: 6x + -5.5x = 0.5x 15 + 0.5x = 25 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 15 + 0.5x = 25 + 0.0 15 + 0.5x = 25 Add '-15' to each side of the equation. 15 + -15 + 0.5x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 0.5x = 25 + -15 0.5x = 25 + -15 Combine like terms: 25 + -15 = 10 0.5x = 10 Divide each side by '0.5'. x = 20 Simplifying x = 20
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