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Simplifying 0.9(-4x + -9) + 0.2x = 0 Reorder the terms: 0.9(-9 + -4x) + 0.2x = 0 (-9 * 0.9 + -4x * 0.9) + 0.2x = 0 (-8.1 + -3.6x) + 0.2x = 0 Combine like terms: -3.6x + 0.2x = -3.4x -8.1 + -3.4x = 0 Solving -8.1 + -3.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.1' to each side of the equation. -8.1 + 8.1 + -3.4x = 0 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -3.4x = 0 + 8.1 -3.4x = 0 + 8.1 Combine like terms: 0 + 8.1 = 8.1 -3.4x = 8.1 Divide each side by '-3.4'. x = -2.382352941 Simplifying x = -2.382352941
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