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Simplifying 2.1x + 45.2 = 3.2 + -8.1x Reorder the terms: 45.2 + 2.1x = 3.2 + -8.1x Solving 45.2 + 2.1x = 3.2 + -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. 45.2 + 2.1x + 8.1x = 3.2 + -8.1x + 8.1x Combine like terms: 2.1x + 8.1x = 10.2x 45.2 + 10.2x = 3.2 + -8.1x + 8.1x Combine like terms: -8.1x + 8.1x = 0.0 45.2 + 10.2x = 3.2 + 0.0 45.2 + 10.2x = 3.2 Add '-45.2' to each side of the equation. 45.2 + -45.2 + 10.2x = 3.2 + -45.2 Combine like terms: 45.2 + -45.2 = 0.0 0.0 + 10.2x = 3.2 + -45.2 10.2x = 3.2 + -45.2 Combine like terms: 3.2 + -45.2 = -42 10.2x = -42 Divide each side by '10.2'. x = -4.117647059 Simplifying x = -4.117647059
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