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Simplifying 0.1x + -0.3(3 + -1x) = 0.9 0.1x + (3 * -0.3 + -1x * -0.3) = 0.9 0.1x + (-0.9 + 0.3x) = 0.9 Reorder the terms: -0.9 + 0.1x + 0.3x = 0.9 Combine like terms: 0.1x + 0.3x = 0.4x -0.9 + 0.4x = 0.9 Solving -0.9 + 0.4x = 0.9 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 + 0.4x = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.4x = 0.9 + 0.9 0.4x = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 0.4x = 1.8 Divide each side by '0.4'. x = 4.5 Simplifying x = 4.5
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