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Simplifying 2.6x + 50.1 = 21.3 + -11.8x Reorder the terms: 50.1 + 2.6x = 21.3 + -11.8x Solving 50.1 + 2.6x = 21.3 + -11.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.8x' to each side of the equation. 50.1 + 2.6x + 11.8x = 21.3 + -11.8x + 11.8x Combine like terms: 2.6x + 11.8x = 14.4x 50.1 + 14.4x = 21.3 + -11.8x + 11.8x Combine like terms: -11.8x + 11.8x = 0.0 50.1 + 14.4x = 21.3 + 0.0 50.1 + 14.4x = 21.3 Add '-50.1' to each side of the equation. 50.1 + -50.1 + 14.4x = 21.3 + -50.1 Combine like terms: 50.1 + -50.1 = 0.0 0.0 + 14.4x = 21.3 + -50.1 14.4x = 21.3 + -50.1 Combine like terms: 21.3 + -50.1 = -28.8 14.4x = -28.8 Divide each side by '14.4'. x = -2 Simplifying x = -2
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