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Simplifying 7x + 6.1 + -2.7x + -3.5x + -2 = 0 Reorder the terms: 6.1 + -2 + 7x + -2.7x + -3.5x = 0 Combine like terms: 6.1 + -2 = 4.1 4.1 + 7x + -2.7x + -3.5x = 0 Combine like terms: 7x + -2.7x = 4.3x 4.1 + 4.3x + -3.5x = 0 Combine like terms: 4.3x + -3.5x = 0.8x 4.1 + 0.8x = 0 Solving 4.1 + 0.8x = 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 + 0.8x = 0 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.8x = 0 + -4.1 0.8x = 0 + -4.1 Combine like terms: 0 + -4.1 = -4.1 0.8x = -4.1 Divide each side by '0.8'. x = -5.125 Simplifying x = -5.125
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