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Simplifying -3x + -7.1 + -4.2x + -4.6x + 2 = 0 Reorder the terms: -7.1 + 2 + -3x + -4.2x + -4.6x = 0 Combine like terms: -7.1 + 2 = -5.1 -5.1 + -3x + -4.2x + -4.6x = 0 Combine like terms: -3x + -4.2x = -7.2x -5.1 + -7.2x + -4.6x = 0 Combine like terms: -7.2x + -4.6x = -11.8x -5.1 + -11.8x = 0 Solving -5.1 + -11.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + -11.8x = 0 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -11.8x = 0 + 5.1 -11.8x = 0 + 5.1 Combine like terms: 0 + 5.1 = 5.1 -11.8x = 5.1 Divide each side by '-11.8'. x = -0.4322033898 Simplifying x = -0.4322033898
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