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Simplifying 2x + -1.4 + 3x + -3.1 + x + -1.4 = x + 2.4 + x + 3.2 + x + -1.6 Reorder the terms: -1.4 + -3.1 + -1.4 + 2x + 3x + x = x + 2.4 + x + 3.2 + x + -1.6 Combine like terms: -1.4 + -3.1 = -4.5 -4.5 + -1.4 + 2x + 3x + x = x + 2.4 + x + 3.2 + x + -1.6 Combine like terms: -4.5 + -1.4 = -5.9 -5.9 + 2x + 3x + x = x + 2.4 + x + 3.2 + x + -1.6 Combine like terms: 2x + 3x = 5x -5.9 + 5x + x = x + 2.4 + x + 3.2 + x + -1.6 Combine like terms: 5x + x = 6x -5.9 + 6x = x + 2.4 + x + 3.2 + x + -1.6 Reorder the terms: -5.9 + 6x = 2.4 + 3.2 + -1.6 + x + x + x Combine like terms: 2.4 + 3.2 = 5.6 -5.9 + 6x = 5.6 + -1.6 + x + x + x Combine like terms: 5.6 + -1.6 = 4 -5.9 + 6x = 4 + x + x + x Combine like terms: x + x = 2x -5.9 + 6x = 4 + 2x + x Combine like terms: 2x + x = 3x -5.9 + 6x = 4 + 3x Solving -5.9 + 6x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5.9 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -5.9 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -5.9 + 3x = 4 + 0 -5.9 + 3x = 4 Add '5.9' to each side of the equation. -5.9 + 5.9 + 3x = 4 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 3x = 4 + 5.9 3x = 4 + 5.9 Combine like terms: 4 + 5.9 = 9.9 3x = 9.9 Divide each side by '3'. x = 3.3 Simplifying x = 3.3
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