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Simplifying 0.9x + -0.5x + -6 = 6 Reorder the terms: -6 + 0.9x + -0.5x = 6 Combine like terms: 0.9x + -0.5x = 0.4x -6 + 0.4x = 6 Solving -6 + 0.4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 0.4x = 6 + 6 0.4x = 6 + 6 Combine like terms: 6 + 6 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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