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Simplifying 2.4x + 50.6 = 20.4 + -12.7x Reorder the terms: 50.6 + 2.4x = 20.4 + -12.7x Solving 50.6 + 2.4x = 20.4 + -12.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.7x' to each side of the equation. 50.6 + 2.4x + 12.7x = 20.4 + -12.7x + 12.7x Combine like terms: 2.4x + 12.7x = 15.1x 50.6 + 15.1x = 20.4 + -12.7x + 12.7x Combine like terms: -12.7x + 12.7x = 0.0 50.6 + 15.1x = 20.4 + 0.0 50.6 + 15.1x = 20.4 Add '-50.6' to each side of the equation. 50.6 + -50.6 + 15.1x = 20.4 + -50.6 Combine like terms: 50.6 + -50.6 = 0.0 0.0 + 15.1x = 20.4 + -50.6 15.1x = 20.4 + -50.6 Combine like terms: 20.4 + -50.6 = -30.2 15.1x = -30.2 Divide each side by '15.1'. x = -2 Simplifying x = -2
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