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Simplifying 2.1x + 46.2 = 3.2 + -8.4x Reorder the terms: 46.2 + 2.1x = 3.2 + -8.4x Solving 46.2 + 2.1x = 3.2 + -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. 46.2 + 2.1x + 8.4x = 3.2 + -8.4x + 8.4x Combine like terms: 2.1x + 8.4x = 10.5x 46.2 + 10.5x = 3.2 + -8.4x + 8.4x Combine like terms: -8.4x + 8.4x = 0.0 46.2 + 10.5x = 3.2 + 0.0 46.2 + 10.5x = 3.2 Add '-46.2' to each side of the equation. 46.2 + -46.2 + 10.5x = 3.2 + -46.2 Combine like terms: 46.2 + -46.2 = 0.0 0.0 + 10.5x = 3.2 + -46.2 10.5x = 3.2 + -46.2 Combine like terms: 3.2 + -46.2 = -43 10.5x = -43 Divide each side by '10.5'. x = -4.095238095 Simplifying x = -4.095238095
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