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Simplifying 0.5x + -0.4(-1x + 1) = 0 Reorder the terms: 0.5x + -0.4(1 + -1x) = 0 0.5x + (1 * -0.4 + -1x * -0.4) = 0 0.5x + (-0.4 + 0.4x) = 0 Reorder the terms: -0.4 + 0.5x + 0.4x = 0 Combine like terms: 0.5x + 0.4x = 0.9x -0.4 + 0.9x = 0 Solving -0.4 + 0.9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.9x = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.9x = 0 + 0.4 0.9x = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 0.9x = 0.4 Divide each side by '0.9'. x = 0.4444444444 Simplifying x = 0.4444444444
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