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Simplifying 3.1x + -14 = 1.3x + 6.7 Reorder the terms: -14 + 3.1x = 1.3x + 6.7 Reorder the terms: -14 + 3.1x = 6.7 + 1.3x Solving -14 + 3.1x = 6.7 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -14 + 3.1x + -1.3x = 6.7 + 1.3x + -1.3x Combine like terms: 3.1x + -1.3x = 1.8x -14 + 1.8x = 6.7 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -14 + 1.8x = 6.7 + 0.0 -14 + 1.8x = 6.7 Add '14' to each side of the equation. -14 + 14 + 1.8x = 6.7 + 14 Combine like terms: -14 + 14 = 0 0 + 1.8x = 6.7 + 14 1.8x = 6.7 + 14 Combine like terms: 6.7 + 14 = 20.7 1.8x = 20.7 Divide each side by '1.8'. x = 11.5 Simplifying x = 11.5
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