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Simplifying 1.2x + -5.7 = 3.1x + 3.8 Reorder the terms: -5.7 + 1.2x = 3.1x + 3.8 Reorder the terms: -5.7 + 1.2x = 3.8 + 3.1x Solving -5.7 + 1.2x = 3.8 + 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. -5.7 + 1.2x + -3.1x = 3.8 + 3.1x + -3.1x Combine like terms: 1.2x + -3.1x = -1.9x -5.7 + -1.9x = 3.8 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -5.7 + -1.9x = 3.8 + 0.0 -5.7 + -1.9x = 3.8 Add '5.7' to each side of the equation. -5.7 + 5.7 + -1.9x = 3.8 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -1.9x = 3.8 + 5.7 -1.9x = 3.8 + 5.7 Combine like terms: 3.8 + 5.7 = 9.5 -1.9x = 9.5 Divide each side by '-1.9'. x = -5 Simplifying x = -5
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