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Simplifying 2.7x + 35.6 = 5.4 + -12.4x Reorder the terms: 35.6 + 2.7x = 5.4 + -12.4x Solving 35.6 + 2.7x = 5.4 + -12.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.4x' to each side of the equation. 35.6 + 2.7x + 12.4x = 5.4 + -12.4x + 12.4x Combine like terms: 2.7x + 12.4x = 15.1x 35.6 + 15.1x = 5.4 + -12.4x + 12.4x Combine like terms: -12.4x + 12.4x = 0.0 35.6 + 15.1x = 5.4 + 0.0 35.6 + 15.1x = 5.4 Add '-35.6' to each side of the equation. 35.6 + -35.6 + 15.1x = 5.4 + -35.6 Combine like terms: 35.6 + -35.6 = 0.0 0.0 + 15.1x = 5.4 + -35.6 15.1x = 5.4 + -35.6 Combine like terms: 5.4 + -35.6 = -30.2 15.1x = -30.2 Divide each side by '15.1'. x = -2 Simplifying x = -2
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