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Simplifying 0.5x + 3(0.2x + -0.3) = 9 Reorder the terms: 0.5x + 3(-0.3 + 0.2x) = 9 0.5x + (-0.3 * 3 + 0.2x * 3) = 9 0.5x + (-0.9 + 0.6x) = 9 Reorder the terms: -0.9 + 0.5x + 0.6x = 9 Combine like terms: 0.5x + 0.6x = 1.1x -0.9 + 1.1x = 9 Solving -0.9 + 1.1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 1.1x = 9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1.1x = 9 + 0.9 1.1x = 9 + 0.9 Combine like terms: 9 + 0.9 = 9.9 1.1x = 9.9 Divide each side by '1.1'. x = 9 Simplifying x = 9
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