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Simplifying 0.5x + -0.4 = 0.2(x + -1) Reorder the terms: -0.4 + 0.5x = 0.2(x + -1) Reorder the terms: -0.4 + 0.5x = 0.2(-1 + x) -0.4 + 0.5x = (-1 * 0.2 + x * 0.2) -0.4 + 0.5x = (-0.2 + 0.2x) Solving -0.4 + 0.5x = -0.2 + 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 + 0.5x + -0.2x = -0.2 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -0.4 + 0.3x = -0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4 + 0.3x = -0.2 + 0.0 -0.4 + 0.3x = -0.2 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.3x = -0.2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.3x = -0.2 + 0.4 0.3x = -0.2 + 0.4 Combine like terms: -0.2 + 0.4 = 0.2 0.3x = 0.2 Divide each side by '0.3'. x = 0.6666666667 Simplifying x = 0.6666666667
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