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Simplifying 2.3x + -4.7 = 2.34 + -3.1x + -0.2 Reorder the terms: -4.7 + 2.3x = 2.34 + -3.1x + -0.2 Reorder the terms: -4.7 + 2.3x = 2.34 + -0.2 + -3.1x Combine like terms: 2.34 + -0.2 = 2.14 -4.7 + 2.3x = 2.14 + -3.1x Solving -4.7 + 2.3x = 2.14 + -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. -4.7 + 2.3x + 3.1x = 2.14 + -3.1x + 3.1x Combine like terms: 2.3x + 3.1x = 5.4x -4.7 + 5.4x = 2.14 + -3.1x + 3.1x Combine like terms: -3.1x + 3.1x = 0.0 -4.7 + 5.4x = 2.14 + 0.0 -4.7 + 5.4x = 2.14 Add '4.7' to each side of the equation. -4.7 + 4.7 + 5.4x = 2.14 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 5.4x = 2.14 + 4.7 5.4x = 2.14 + 4.7 Combine like terms: 2.14 + 4.7 = 6.84 5.4x = 6.84 Divide each side by '5.4'. x = 1.266666667 Simplifying x = 1.266666667
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