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Simplifying 0.5(8 + 3x) + -1x = 0 (8 * 0.5 + 3x * 0.5) + -1x = 0 (4 + 1.5x) + -1x = 0 Combine like terms: 1.5x + -1x = 0.5x 4 + 0.5x = 0 Solving 4 + 0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 0 + -4 0.5x = 0 + -4 Combine like terms: 0 + -4 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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