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Simplifying 3.1x + 47.8 = 3.4 + -8.0x Reorder the terms: 47.8 + 3.1x = 3.4 + -8.0x Solving 47.8 + 3.1x = 3.4 + -8.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.0x' to each side of the equation. 47.8 + 3.1x + 8.0x = 3.4 + -8.0x + 8.0x Combine like terms: 3.1x + 8.0x = 11.1x 47.8 + 11.1x = 3.4 + -8.0x + 8.0x Combine like terms: -8.0x + 8.0x = 0.0 47.8 + 11.1x = 3.4 + 0.0 47.8 + 11.1x = 3.4 Add '-47.8' to each side of the equation. 47.8 + -47.8 + 11.1x = 3.4 + -47.8 Combine like terms: 47.8 + -47.8 = 0.0 0.0 + 11.1x = 3.4 + -47.8 11.1x = 3.4 + -47.8 Combine like terms: 3.4 + -47.8 = -44.4 11.1x = -44.4 Divide each side by '11.1'. x = -4 Simplifying x = -4
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