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Simplifying 3x + 2 + -4x + 2.1(3x + 1) = 0 Reorder the terms: 3x + 2 + -4x + 2.1(1 + 3x) = 0 3x + 2 + -4x + (1 * 2.1 + 3x * 2.1) = 0 3x + 2 + -4x + (2.1 + 6.3x) = 0 Reorder the terms: 2 + 2.1 + 3x + -4x + 6.3x = 0 Combine like terms: 2 + 2.1 = 4.1 4.1 + 3x + -4x + 6.3x = 0 Combine like terms: 3x + -4x = -1x 4.1 + -1x + 6.3x = 0 Combine like terms: -1x + 6.3x = 5.3x 4.1 + 5.3x = 0 Solving 4.1 + 5.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1' to each side of the equation. 4.1 + -4.1 + 5.3x = 0 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 5.3x = 0 + -4.1 5.3x = 0 + -4.1 Combine like terms: 0 + -4.1 = -4.1 5.3x = -4.1 Divide each side by '5.3'. x = -0.7735849057 Simplifying x = -0.7735849057
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