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Simplifying 5.5(6.7x + 7.3) = -5.5(-4.2x + 2.2) Reorder the terms: 5.5(7.3 + 6.7x) = -5.5(-4.2x + 2.2) (7.3 * 5.5 + 6.7x * 5.5) = -5.5(-4.2x + 2.2) (40.15 + 36.85x) = -5.5(-4.2x + 2.2) Reorder the terms: 40.15 + 36.85x = -5.5(2.2 + -4.2x) 40.15 + 36.85x = (2.2 * -5.5 + -4.2x * -5.5) 40.15 + 36.85x = (-12.1 + 23.1x) Solving 40.15 + 36.85x = -12.1 + 23.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.1x' to each side of the equation. 40.15 + 36.85x + -23.1x = -12.1 + 23.1x + -23.1x Combine like terms: 36.85x + -23.1x = 13.75x 40.15 + 13.75x = -12.1 + 23.1x + -23.1x Combine like terms: 23.1x + -23.1x = 0.0 40.15 + 13.75x = -12.1 + 0.0 40.15 + 13.75x = -12.1 Add '-40.15' to each side of the equation. 40.15 + -40.15 + 13.75x = -12.1 + -40.15 Combine like terms: 40.15 + -40.15 = 0.00 0.00 + 13.75x = -12.1 + -40.15 13.75x = -12.1 + -40.15 Combine like terms: -12.1 + -40.15 = -52.25 13.75x = -52.25 Divide each side by '13.75'. x = -3.8 Simplifying x = -3.8
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