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Simplifying 0.5(1 + -1x) + 0.2(1 + x) = 0 (1 * 0.5 + -1x * 0.5) + 0.2(1 + x) = 0 (0.5 + -0.5x) + 0.2(1 + x) = 0 0.5 + -0.5x + (1 * 0.2 + x * 0.2) = 0 0.5 + -0.5x + (0.2 + 0.2x) = 0 Reorder the terms: 0.5 + 0.2 + -0.5x + 0.2x = 0 Combine like terms: 0.5 + 0.2 = 0.7 0.7 + -0.5x + 0.2x = 0 Combine like terms: -0.5x + 0.2x = -0.3x 0.7 + -0.3x = 0 Solving 0.7 + -0.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.3x = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.3x = 0 + -0.7 -0.3x = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -0.3x = -0.7 Divide each side by '-0.3'. x = 2.333333333 Simplifying x = 2.333333333
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