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Simplifying 5.5x + 12 = 3.4x + -6.3 Reorder the terms: 12 + 5.5x = 3.4x + -6.3 Reorder the terms: 12 + 5.5x = -6.3 + 3.4x Solving 12 + 5.5x = -6.3 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 12 + 5.5x + -3.4x = -6.3 + 3.4x + -3.4x Combine like terms: 5.5x + -3.4x = 2.1x 12 + 2.1x = -6.3 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 12 + 2.1x = -6.3 + 0.0 12 + 2.1x = -6.3 Add '-12' to each side of the equation. 12 + -12 + 2.1x = -6.3 + -12 Combine like terms: 12 + -12 = 0 0 + 2.1x = -6.3 + -12 2.1x = -6.3 + -12 Combine like terms: -6.3 + -12 = -18.3 2.1x = -18.3 Divide each side by '2.1'. x = -8.714285714 Simplifying x = -8.714285714
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