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Simplifying -2(5.5x + -2.5) = 24.5 + 4.5x Reorder the terms: -2(-2.5 + 5.5x) = 24.5 + 4.5x (-2.5 * -2 + 5.5x * -2) = 24.5 + 4.5x (5 + -11x) = 24.5 + 4.5x Solving 5 + -11x = 24.5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 5 + -11x + -4.5x = 24.5 + 4.5x + -4.5x Combine like terms: -11x + -4.5x = -15.5x 5 + -15.5x = 24.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 5 + -15.5x = 24.5 + 0.0 5 + -15.5x = 24.5 Add '-5' to each side of the equation. 5 + -5 + -15.5x = 24.5 + -5 Combine like terms: 5 + -5 = 0 0 + -15.5x = 24.5 + -5 -15.5x = 24.5 + -5 Combine like terms: 24.5 + -5 = 19.5 -15.5x = 19.5 Divide each side by '-15.5'. x = -1.258064516 Simplifying x = -1.258064516
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