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Simplifying 2.1x + 45.2 = 2.3 + -8.4x Reorder the terms: 45.2 + 2.1x = 2.3 + -8.4x Solving 45.2 + 2.1x = 2.3 + -8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.4x' to each side of the equation. 45.2 + 2.1x + 8.4x = 2.3 + -8.4x + 8.4x Combine like terms: 2.1x + 8.4x = 10.5x 45.2 + 10.5x = 2.3 + -8.4x + 8.4x Combine like terms: -8.4x + 8.4x = 0.0 45.2 + 10.5x = 2.3 + 0.0 45.2 + 10.5x = 2.3 Add '-45.2' to each side of the equation. 45.2 + -45.2 + 10.5x = 2.3 + -45.2 Combine like terms: 45.2 + -45.2 = 0.0 0.0 + 10.5x = 2.3 + -45.2 10.5x = 2.3 + -45.2 Combine like terms: 2.3 + -45.2 = -42.9 10.5x = -42.9 Divide each side by '10.5'. x = -4.085714286 Simplifying x = -4.085714286
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