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Simplifying 0.5x + 12.3 = 7.1 + -1.1x Reorder the terms: 12.3 + 0.5x = 7.1 + -1.1x Solving 12.3 + 0.5x = 7.1 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 12.3 + 0.5x + 1.1x = 7.1 + -1.1x + 1.1x Combine like terms: 0.5x + 1.1x = 1.6x 12.3 + 1.6x = 7.1 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 12.3 + 1.6x = 7.1 + 0.0 12.3 + 1.6x = 7.1 Add '-12.3' to each side of the equation. 12.3 + -12.3 + 1.6x = 7.1 + -12.3 Combine like terms: 12.3 + -12.3 = 0.0 0.0 + 1.6x = 7.1 + -12.3 1.6x = 7.1 + -12.3 Combine like terms: 7.1 + -12.3 = -5.2 1.6x = -5.2 Divide each side by '1.6'. x = -3.25 Simplifying x = -3.25
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