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Simplifying 0.5(11.8 + -1x) = -1x + -81 (11.8 * 0.5 + -1x * 0.5) = -1x + -81 (5.9 + -0.5x) = -1x + -81 Reorder the terms: 5.9 + -0.5x = -81 + -1x Solving 5.9 + -0.5x = -81 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5.9 + -0.5x + x = -81 + -1x + x Combine like terms: -0.5x + x = 0.5x 5.9 + 0.5x = -81 + -1x + x Combine like terms: -1x + x = 0 5.9 + 0.5x = -81 + 0 5.9 + 0.5x = -81 Add '-5.9' to each side of the equation. 5.9 + -5.9 + 0.5x = -81 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + 0.5x = -81 + -5.9 0.5x = -81 + -5.9 Combine like terms: -81 + -5.9 = -86.9 0.5x = -86.9 Divide each side by '0.5'. x = -173.8 Simplifying x = -173.8
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