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Simplifying 0.5(8 + -1x) = 8 + -1x (8 * 0.5 + -1x * 0.5) = 8 + -1x (4 + -0.5x) = 8 + -1x Solving 4 + -0.5x = 8 + -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. 4 + -0.5x + x = 8 + -1x + x Combine like terms: -0.5x + x = 0.5x 4 + 0.5x = 8 + -1x + x Combine like terms: -1x + x = 0 4 + 0.5x = 8 + 0 4 + 0.5x = 8 Add '-4' to each side of the equation. 4 + -4 + 0.5x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 8 + -4 0.5x = 8 + -4 Combine like terms: 8 + -4 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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