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Simplifying 0.4(2x + -1) = -0.2x + -0.3 Reorder the terms: 0.4(-1 + 2x) = -0.2x + -0.3 (-1 * 0.4 + 2x * 0.4) = -0.2x + -0.3 (-0.4 + 0.8x) = -0.2x + -0.3 Reorder the terms: -0.4 + 0.8x = -0.3 + -0.2x Solving -0.4 + 0.8x = -0.3 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.4 + 0.8x + 0.2x = -0.3 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x -0.4 + 1x = -0.3 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.4 + 1x = -0.3 + 0.0 -0.4 + 1x = -0.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1x = -0.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1x = -0.3 + 0.4 1x = -0.3 + 0.4 Combine like terms: -0.3 + 0.4 = 0.1 1x = 0.1 Divide each side by '1'. x = 0.1 Simplifying x = 0.1
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