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Simplifying 2x + 6.7 + 4.3x + -2.9 + -3 = 0 Reorder the terms: 6.7 + -2.9 + -3 + 2x + 4.3x = 0 Combine like terms: 6.7 + -2.9 = 3.8 3.8 + -3 + 2x + 4.3x = 0 Combine like terms: 3.8 + -3 = 0.8 0.8 + 2x + 4.3x = 0 Combine like terms: 2x + 4.3x = 6.3x 0.8 + 6.3x = 0 Solving 0.8 + 6.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 6.3x = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 6.3x = 0 + -0.8 6.3x = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 6.3x = -0.8 Divide each side by '6.3'. x = -0.126984127 Simplifying x = -0.126984127
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