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Simplifying 5.5(5.5 + x + 3) = 3.5(3.5 + x + 5) Reorder the terms: 5.5(5.5 + 3 + x) = 3.5(3.5 + x + 5) Combine like terms: 5.5 + 3 = 8.5 5.5(8.5 + x) = 3.5(3.5 + x + 5) (8.5 * 5.5 + x * 5.5) = 3.5(3.5 + x + 5) (46.75 + 5.5x) = 3.5(3.5 + x + 5) Reorder the terms: 46.75 + 5.5x = 3.5(3.5 + 5 + x) Combine like terms: 3.5 + 5 = 8.5 46.75 + 5.5x = 3.5(8.5 + x) 46.75 + 5.5x = (8.5 * 3.5 + x * 3.5) 46.75 + 5.5x = (29.75 + 3.5x) Solving 46.75 + 5.5x = 29.75 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 46.75 + 5.5x + -3.5x = 29.75 + 3.5x + -3.5x Combine like terms: 5.5x + -3.5x = 2x 46.75 + 2x = 29.75 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 46.75 + 2x = 29.75 + 0.0 46.75 + 2x = 29.75 Add '-46.75' to each side of the equation. 46.75 + -46.75 + 2x = 29.75 + -46.75 Combine like terms: 46.75 + -46.75 = 0.00 0.00 + 2x = 29.75 + -46.75 2x = 29.75 + -46.75 Combine like terms: 29.75 + -46.75 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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