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Simplifying 2(x + 2.5) = 3(5.5 + -1x) Reorder the terms: 2(2.5 + x) = 3(5.5 + -1x) (2.5 * 2 + x * 2) = 3(5.5 + -1x) (5 + 2x) = 3(5.5 + -1x) 5 + 2x = (5.5 * 3 + -1x * 3) 5 + 2x = (16.5 + -3x) Solving 5 + 2x = 16.5 + -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. 5 + 2x + 3x = 16.5 + -3x + 3x Combine like terms: 2x + 3x = 5x 5 + 5x = 16.5 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 5x = 16.5 + 0 5 + 5x = 16.5 Add '-5' to each side of the equation. 5 + -5 + 5x = 16.5 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 16.5 + -5 5x = 16.5 + -5 Combine like terms: 16.5 + -5 = 11.5 5x = 11.5 Divide each side by '5'. x = 2.3 Simplifying x = 2.3
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