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Simplifying 0.5x + -1[-1(0.8 + -0.2x)] = 0.2 + -0.3x 0.5x + -1[(0.8 * -1 + -0.2x * -1)] = 0.2 + -0.3x 0.5x + -1[(-0.8 + 0.2x)] = 0.2 + -0.3x 0.5x + [-0.8 * -1 + 0.2x * -1] = 0.2 + -0.3x 0.5x + [0.8 + -0.2x] = 0.2 + -0.3x Reorder the terms: 0.8 + 0.5x + -0.2x = 0.2 + -0.3x Combine like terms: 0.5x + -0.2x = 0.3x 0.8 + 0.3x = 0.2 + -0.3x Solving 0.8 + 0.3x = 0.2 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 0.8 + 0.3x + 0.3x = 0.2 + -0.3x + 0.3x Combine like terms: 0.3x + 0.3x = 0.6x 0.8 + 0.6x = 0.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.8 + 0.6x = 0.2 + 0.0 0.8 + 0.6x = 0.2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.6x = 0.2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.6x = 0.2 + -0.8 0.6x = 0.2 + -0.8 Combine like terms: 0.2 + -0.8 = -0.6 0.6x = -0.6 Divide each side by '0.6'. x = -1 Simplifying x = -1
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