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Simplifying 2.4x + 34.4 = 2.9 + -8.1x Reorder the terms: 34.4 + 2.4x = 2.9 + -8.1x Solving 34.4 + 2.4x = 2.9 + -8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.1x' to each side of the equation. 34.4 + 2.4x + 8.1x = 2.9 + -8.1x + 8.1x Combine like terms: 2.4x + 8.1x = 10.5x 34.4 + 10.5x = 2.9 + -8.1x + 8.1x Combine like terms: -8.1x + 8.1x = 0.0 34.4 + 10.5x = 2.9 + 0.0 34.4 + 10.5x = 2.9 Add '-34.4' to each side of the equation. 34.4 + -34.4 + 10.5x = 2.9 + -34.4 Combine like terms: 34.4 + -34.4 = 0.0 0.0 + 10.5x = 2.9 + -34.4 10.5x = 2.9 + -34.4 Combine like terms: 2.9 + -34.4 = -31.5 10.5x = -31.5 Divide each side by '10.5'. x = -3 Simplifying x = -3
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