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Simplifying 0.9x + -0.9(6 + -1x) = -0.9 0.9x + (6 * -0.9 + -1x * -0.9) = -0.9 0.9x + (-5.4 + 0.9x) = -0.9 Reorder the terms: -5.4 + 0.9x + 0.9x = -0.9 Combine like terms: 0.9x + 0.9x = 1.8x -5.4 + 1.8x = -0.9 Solving -5.4 + 1.8x = -0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4' to each side of the equation. -5.4 + 5.4 + 1.8x = -0.9 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1.8x = -0.9 + 5.4 1.8x = -0.9 + 5.4 Combine like terms: -0.9 + 5.4 = 4.5 1.8x = 4.5 Divide each side by '1.8'. x = 2.5 Simplifying x = 2.5
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