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Simplifying 2.5x + -5.6 + 3x = 2.4 + 3.1x + -10.7 Reorder the terms: -5.6 + 2.5x + 3x = 2.4 + 3.1x + -10.7 Combine like terms: 2.5x + 3x = 5.5x -5.6 + 5.5x = 2.4 + 3.1x + -10.7 Reorder the terms: -5.6 + 5.5x = 2.4 + -10.7 + 3.1x Combine like terms: 2.4 + -10.7 = -8.3 -5.6 + 5.5x = -8.3 + 3.1x Solving -5.6 + 5.5x = -8.3 + 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. -5.6 + 5.5x + -3.1x = -8.3 + 3.1x + -3.1x Combine like terms: 5.5x + -3.1x = 2.4x -5.6 + 2.4x = -8.3 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -5.6 + 2.4x = -8.3 + 0.0 -5.6 + 2.4x = -8.3 Add '5.6' to each side of the equation. -5.6 + 5.6 + 2.4x = -8.3 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 2.4x = -8.3 + 5.6 2.4x = -8.3 + 5.6 Combine like terms: -8.3 + 5.6 = -2.7 2.4x = -2.7 Divide each side by '2.4'. x = -1.125 Simplifying x = -1.125
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