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Simplifying 0.4(2x + -3) = 0.2x Reorder the terms: 0.4(-3 + 2x) = 0.2x (-3 * 0.4 + 2x * 0.4) = 0.2x (-1.2 + 0.8x) = 0.2x Solving -1.2 + 0.8x = 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. -1.2 + 0.8x + -0.2x = 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -1.2 + 0.6x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.2 + 0.6x = 0.0 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.6x = 0.0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.6x = 0.0 + 1.2 0.6x = 0.0 + 1.2 Combine like terms: 0.0 + 1.2 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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