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Simplifying 2.4x + 57.4 = 35.6 + -8.5x Reorder the terms: 57.4 + 2.4x = 35.6 + -8.5x Solving 57.4 + 2.4x = 35.6 + -8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.5x' to each side of the equation. 57.4 + 2.4x + 8.5x = 35.6 + -8.5x + 8.5x Combine like terms: 2.4x + 8.5x = 10.9x 57.4 + 10.9x = 35.6 + -8.5x + 8.5x Combine like terms: -8.5x + 8.5x = 0.0 57.4 + 10.9x = 35.6 + 0.0 57.4 + 10.9x = 35.6 Add '-57.4' to each side of the equation. 57.4 + -57.4 + 10.9x = 35.6 + -57.4 Combine like terms: 57.4 + -57.4 = 0.0 0.0 + 10.9x = 35.6 + -57.4 10.9x = 35.6 + -57.4 Combine like terms: 35.6 + -57.4 = -21.8 10.9x = -21.8 Divide each side by '10.9'. x = -2 Simplifying x = -2
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